Quantitative Aptitude

Simple and Compound Interest

3,394 Questions
All Simple interest and its inverse forms 768 Compound interest with annual compounding 742 Simple-interest growth and split sums 626 Difference between compound and simple interest 479 Half-yearly and quarterly compounding 252 Changing rates and fractional years 201 Installments (CI based) 190 Ratio of principal to interest 118 Population growth and depreciation 16

Simple and Compound Interest Questions

Multiple choice

Passage

Directions: Read the following passage and answer the question. A, B, C, D and E are five friends. They started a business. The amount invested by A, B, C, D and E was Rs. 30,000, Rs. 40,000, Rs. 60,000, Rs. 50,000 and Rs. 70,000, respectively. After 6 months, A, C and E increased their initial investment by 20%, 30% and 40%, respectively. At the end of the year, they earned a total profit of Rs. 1,38,000 and the profit is shared to individuals in the ratio of their investment. At the end of the year, person X borrows the profit share of A at 12% simple interest for 5 years and person Y borrows the profit share of D at 10% simple interest for 5 years. The person Z borrows E's profit share for 2 years at the rate of 20% compound interest.

Find the compound interest, person Z has to pay for person E for given time.

  1. Rs. 18,480

  2. Rs. 17,500

  3. Rs. 15,300

  4. Rs. 20,040

  5. Rs. 18,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's initial 30k becomes 36k after 6 months. C's 60k becomes 78k. E's 70k becomes 98k. Total investment units: A(30*6 + 36*6) = 396, B(40*12) = 480, C(60*6 + 78*6) = 828, D(50*12) = 600, E(70*6 + 98*6) = 1008. Total ratio sum = 3312. E's share = (1008/3312) * 138000 = 42000. Compound interest on 42000 at 20% for 2 years = 42000 * (1.2^2 - 1) = 42000 * 0.44 = 18480.

Multiple choice

Passage

Directions: Read the following passage and answer the question. A, B, C, D and E are five friends. They started a business. The amount invested by A, B, C, D and E was Rs. 30,000, Rs. 40,000, Rs. 60,000, Rs. 50,000 and Rs. 70,000, respectively. After 6 months, A, C and E increased their initial investment by 20%, 30% and 40%, respectively. At the end of the year, they earned a total profit of Rs. 1,38,000 and the profit is shared to individuals in the ratio of their investment. At the end of the year, person X borrows the profit share of A at 12% simple interest for 5 years and person Y borrows the profit share of D at 10% simple interest for 5 years. The person Z borrows E's profit share for 2 years at the rate of 20% compound interest.

Find the simple interest amount that person X have to pay for person A for given time.

  1. Rs. 9,900

  2. Rs. 8,900

  3. Rs. 8,000

  4. Rs. 4,500

  5. Rs. 7,600
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

Find the rate of simple interest per annum. Statement I. A borrowed Rs 9000 from B for two years on simple interest. Statement II. A returned Rs 11700 to B at the end of two years and settled the loan. Statement III. A sum of money becomes double in 20/3 years on simple interest.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

  3. The data in any two of the three statements is sufficient to answer the question.

  4. The data in all the statements I, II and III is not sufficient to answer the question.

  5. The data in statements I and II together or in statement III alone is sufficient to answer the question
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From Statements I and II: Principal = 9000, Amount = 11700, Time = 2 years. Interest = 11700 - 9000 = 2700. Rate = (100 * Interest) / (Principal * Time) = (100 * 2700) / (9000 * 2) = 15%. From Statement III alone: Sum doubles in 20/3 years, so Interest = Principal. Rate = (100 * P) / (P * 20/3) = 15%. Both methods give the same answer.

Multiple choice

Passage

In each of the following questions is followed by three statements study the question and the statements and decide the information given in which of the statement(s) is/are necessary to answer the question ?

Find principle amount? I. The compound interest on the same sum for two years is 484. II. Rate of interest is 5%. III. The difference between compound interest and simple interest on that sum is Rs. 41.

  1. Only I

  2. Only II

  3. II with either I or III

  4. All are not sufficient

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let principal be P and rate r=5%. CI for 2 years = P(1+r/100)^2 - P = P(1.05^2-1) = P(0.1025) = 484, so P = 484/0.1025. CI-SI difference for 2 years at rate r% is P(r/100)^2 = P(0.05)^2 = 0.0025P = 41. Both give P uniquely. Either alone with rate suffices.

Multiple choice

Passage

In the given questions, two quantities are given, one as ‘Quantity 1’ and another as ‘Quantity 2’. You have to determine relationship between two quantities and choose the appropriate option:

Quantity I: Find the simple interest on Rs. 26000 for 2 years at 13 % per annum? Quantity II: Find the compound interest on Rs. 26000 for 2 years at 12 % per annum?

  1. Quantity I> Quantity II

  2. Quantity I< Quantity II

  3. Quantity II ≥ Quantity I

  4. Quantity II ≤ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Simple Interest = (P × R × T) / 100 = (26000 × 13 × 2) / 100 = 260 × 26 = Rs. 6760. Quantity II: Compound Interest = P(1 + R/100)^T - P = 26000(1 + 12/100)² - 26000 = 26000(1.12)² - 26000 = 26000(1.2544) - 26000 = Rs. 6614.40. Since 6760 > 6614.40, Quantity I > Quantity II, so A is correct.

Multiple choice

Passage

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. निम्नलिखित प्रश्नों में दो मात्राएँ I और II दी गई हैं। छात्रों से अपेक्षा की जाती है कि वे मात्राओं को हल करें और उनके संख्यात्मक मानों की तुलना करके दिए गए विकल्पों के अनुसार उत्तर दें।

Quantity I: When a motorboat travels in downstream then its speed become 125% of the speed of the motorboat in still water. The speed of the stream is what percentage of the speed of the motorboat in still water? Quantity II: When a sum of money was invested at simple interest then at the end of 16 years the amount becomes 500% of the sum of money. What is the rate of interest? मात्रा I: जब एक मोटरबोट डाउनस्ट्रीम में यात्रा करती है तब उसकी गति स्थिर पानी में मोटरबोट की गति का 125% हो जाती है। धारा की गति स्थिर पानी में मोटरबोट की गति का कितना प्रतिशत है? मात्रा II: जब साधारण ब्याज पर धनराशि को निवेश किया जाता है तो 16 वर्षों के अंत में मिश्रधन, धनराशि का 500% हो जाता है। ब्याज दर क्या है?

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≤ मात्रा II

  3. Quantity I < Quantity II मात्रा I < मात्रा II

  4. Quantity I ≤ Quantity II मात्रा I ≤ मात्रा II

  5. Quantity I = Quantity II or relation can’t be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है |
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Downstream speed = 125% of still water speed means boat speed + current = 1.25 × boat speed, so current = 0.25 × boat speed = 25% of boat speed. Quantity II: Amount = 500% of principal after 16 years means Simple Interest = 400% of principal. Rate = (400%/16) = 25% per year. Both quantities equal 25%, so answer is E.

Multiple choice

Passage

Find the correct relationship between given quantities.

An amount of Rs5200 was invested; the initial rate of interest was 8% and increased by 1% after every year. Quantity I- Rs 15865 Quantity II- compound interest after 3 years

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I is given as Rs 15865. Quantity II: Principal = 5200, Year 1 at 8% = 416, Year 2 at 9% = (5200+416)×0.09 = 505.44, Year 3 at 10% = (5200+416+505.44)×0.10 = 612.14. Compound Interest = 416 + 505.44 + 612.14 = 1533.58. Since 15865 > 1533.58, Quantity I > Quantity II, making option A correct.

Multiple choice

Passage

Directions : Study the following table to answer the given questions. Percentage of Marks Obtained by Seven Students in Six Subjects

Find the amount on which the difference of simple interest and compound interest compounded half - yearly will be Rs.244 at the rate of 10% in 1(1/2) years?

  1. Rs.40000

  2. Rs.36000

  3. Rs.32000

  4. Rs.28000

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For simple interest: SI = P × R × T = P × 0.10 × 1.5 = 0.15P. Amount = P + 0.15P = 1.15P. For compound interest compounded half-yearly: rate = 5% per half-year, time = 3 half-years. Amount = P(1 + 0.05)³ = P(1.05)³ = 1.157625P. Difference = 1.157625P - 1.15P = 0.007625P. Given difference is Rs. 244, so 0.007625P = 244, P = 244/0.007625 ≈ Rs. 32000.

Multiple choice

Passage

Find the value of Q1 and Q2 and state the correct relationship.

Quantity I: Simple Interest on a sum of Rs 6200 at the rate of 6% per annum for 5 years Quantity II: Compound Interest on a sum of Rs 6400 at rate of 10% compounded semi-annually for one year.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: SI = P×R×T/100 = 6200×6×5/100 = Rs. 1860. Quantity II: Compounded semi-annually means rate = 10%/2 = 5% per period, 2 periods in 1 year. Amount = 6400×(1.05)² = 6400×1.1025 = 7056. CI = 7056-6400 = Rs. 656. Since 1860 > 656, Quantity I is greater.

Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement: निम्नलिखित प्रत्येक प्रश्न में एक प्रश्न और फिर दो कथन I और II दिए गए हैं। आपको यह निर्धारित करना है कि इन कथनों में प्रदान किया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों का अध्ययन करें:

What is the amount of the principal? मूलधन की राशि क्या है? Statement I – The simple interest was 1200 after two year of investment. Statement II – The compound interest was Rs.1224 after 2 years. कथन I - दो साल के निवेश के बाद साधारण ब्याज 1200 था। कथन II - 2 साल बाद चक्रवृद्धि ब्याज 1224 रुपये था।

  1. Only Statement I alone. केवल कथन I

  2. Only Statement II alone. केवल कथन II

  3. Both Statements I and II together. दोनों कथन I और II एक साथ

  4. Neither Statement I nor II is sufficient. न तो कथन I और न ही II पर्याप्त है।

  5. Either Statement I or II. या तो कथन I या II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From Statement I, simple interest after 2 years is ₹1200, so annual simple interest is ₹600. From Statement II, compound interest after 2 years is ₹1224. The difference between CI and SI for 2 years is ₹1224 - ₹1200 = ₹24, which equals interest on the first year's interest. If annual interest is ₹600, then ₹24 is 4% of ₹600, giving a 4% annual rate. Therefore, principal = ₹600/0.04 = ₹15000. Both statements together are necessary and sufficient.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Quantity I: Simple interest earned in three years at same rate. Difference between CI and SI for two years is 125 which is 25% of the amount invested. Quantity II: Rs. 725 मात्रा I: तीन वर्षों में समान दर पर अर्जित साधारण ब्याज। दो वर्षों के लिए CI और SI के बीच का अंतर 125 है जो निवेश की गई राशि का 25% है। मात्रा II: रु 725

  1. Quantity : I > Quantity : II मात्रा : I > मात्रा : II

  2. Quantity : I ≥ Quantity : II मात्रा : I ≥ मात्रा : II

  3. Quantity : I < Quantity : II मात्रा : I < मात्रा : II

  4. Quantity : II ≥ Quantity : I मात्रा: II ≥ मात्रा: I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For 2 years, CI - SI = P × r²/100². Given 125 = 0.25P, so P = 500. Rate r = 10% (given as same rate). SI for 3 years = 500 × 0.10 × 3 = 150. Quantity I (150) > Quantity II (725). The key insight is recognizing the 2-year CI-SI difference formula.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Quantity I: Simple Interest on a sum of Rs 6400 at the rate of 6.5% per annum for 6 years Quantity II: Compound Interest on a sum of Rs 9600 at rate of 10% compounded semi-annually for one year. मात्रा I: 6400 रुपये की राशि पर 6.5% प्रति वर्ष की दर से 6 वर्षों के लिए साधारण ब्याज मात्रा II: एक वर्ष के लिए अर्ध-वार्षिक 10% की दर से 9600 रुपये की राशि पर चक्रवृद्धि ब्याज।

  1. Quantity: I > Quantity: II मात्रा I > मात्रा II

  2. Quantity: I ≥ Quantity: II मात्रा I ≥ मात्रा II

  3. Quantity: I < Quantity: II मात्रा I < मात्रा II

  4. Quantity: II ≥ Quantity: I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Simple Interest = P×R×T/100 = 6400 × 6.5 × 6 / 100 = 6400 × 39 / 100 = 64 × 39 = 2496. Quantity II: Compound Interest semi-annually means rate per period = 10%/2 = 5%, periods = 2. Amount = 9600 × (1.05)² = 9600 × 1.1025 = 10584. Compound Interest = 10584 - 9600 = 984. Therefore Quantity I (2496) > Quantity II (984).

Multiple choice

Passage

Each of these questions consists of a question followed by information in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. नीचे प्रत्येक प्रश्न में, एक प्रश्न और उसके बाद तीन कथनों में जानकारी दी गई है। आप प्रश्नो और कथनों का अध्ययन कीजिए और यह तय कीजिये कि कौन सा/से कथनों में दी गई जानकारी प्रश्न का उत्तर देने के लिए आवश्यक है/हैं।

Find the amount at the end of 3 years and 6 months- 3 वर्ष और 6 माह के अंत में मिश्रधन ज्ञात कीजिये - Statement I: If a principal is invested at same rate of simple interest for 12 years it becomes 3 times. Statement II: The principle produces a compound interest of 1800 if invested at same rate of interest for 2 years. Statement III: Any principal invested at same rate of compound interest become 139.24% at the end of 2 years. कथन I: यदि एक मूलधन 12 वर्ष के लिए साधारण ब्याज दर पर निवेश करता है तो यह 3 गुना हो जाता है। कथन II: यदि मूलधन को 2 वर्षों के लिए समान चक्रवृद्धि ब्याज दर निवेश किया जाता है तो 1800 का चक्रवृद्धि ब्याज प्राप्त होता है। कथन III: यदि मूलधन को 2 वर्षो के लिए चक्रवृद्धि ब्याज पर निवेश किया जाता है तो यह खुद का 139.24% हो जाता है।

  1. All three together are not sufficient सभी तीनों एक साथ भी पर्याप्त नहीं हैं

  2. I and (II or III) are sufficient I तथा (II या III) पर्याप्त हैं

  3. II and (I or III) are sufficient II तथा (I या III) पर्याप्त हैं

  4. Any two are sufficient कोई भी दो पर्याप्त हैं

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From I: 12r = 2P, so r = P/6. From III: P(1+r)^2 = 1.3924P → (1+r)^2 = 1.3924 → 1+r = 1.18 → r = 18%. This gives r = 0.18 = P/6 → P = 1.08. With r and P known from I+III, or II+III (CI from II gives P, III gives r), amount for 3.5 years can be found.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered)

Quantity I : Find the interest earned after 3 years, if a person invests Rs. 52000 at C.I. at the rate of 10% per annum. Quantity II : Find the interest earned after 3 years, if a person invests Rs. 28750 at S.I. at the rate of 20% per annum.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: CI for 3 years at 10% on Rs. 52000 = 52000 × ((1 + 0.1)³ - 1) = 52000 × 0.331 = Rs. 17,212. Quantity II: SI for 3 years at 20% on Rs. 28750 = 28750 × 0.2 × 3 = Rs. 17,250. Since 17212 < 17250, Quantity I < Quantity II is correct.

Multiple choice

Passage

In each of the following questions, a question is followed by information given in three Statements I, II and III. You have to study the question along with the statements and decide the information given in which of the statement(s) is necessary to answer the question. निम्नलिखित प्रत्येक प्रश्न में, एक प्रश्न के बाद तीन कथन I, II और III में दी गई जानकारी दी गई है। आपको कथनों के साथ-साथ प्रश्न का अध्ययन करना है और यह तय करना है कि प्रश्न का उत्तर देने के लिए कौन से कथन में दी गई जानकारी आवश्यक है।

What is the rate of interest Percent per annum? प्रति वर्ष ब्याज दर प्रतिशत क्या है? I. An amount doubles itself in 5 yrs on simple interest; II. Difference between the compound interest and the simple interest earned on a certain amount in two years is Rs 400. III. Simple interest earned per annum is Rs 2000. I. साधारण ब्याज पर एक राशि 5 वर्षों में स्वयं दोगुनी हो जाती है; II. दो वर्षों में एक निश्चित राशि पर अर्जित चक्रवृद्धि ब्याज और साधारण ब्याज के बीच का अंतर 400 रुपये है। III. प्रति वर्ष अर्जित साधारण ब्याज 2000 रुपये है।

  1. Only I केवल I

  2. II and III II और III

  3. Any two of three तीन में से कोई दो

  4. I or II and III I या II और III

  5. Only I or II and III केवल I या II और III
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: Amount doubles in 5 years on SI, so rate r = 100/5 = 20%. This alone is sufficient. Statement II: CI - SI for 2 years = P × r²/100² = 400. Two unknowns P and r, insufficient alone. Statement III: SI per year = 2000, meaning P × r/100 = 2000. Insufficient alone. Combining II and III: From III, P = 200000/r. Substituting in II gives the rate. So 'Only I' OR 'II and III' both work. The correct option accurately captures this logical structure.