Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

A shopkeeper sold his articles at cost price. But he used false weights and gives 800 gm instead of 1 kg. Find his profit%.
  1. $16 (2/3) %$
  2. $20 %$
  3. $10 %$
  4. $33 (1/3) %$

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

Shopkeeper sells at cost price but gives only 800 gm instead of 1000 gm. For every 1000 gm paid, customer receives 800 gm, meaning shopkeeper saves 200 gm worth of goods. Profit = (200/800) × 100 = 25%. The claimed answer E (None of these) is correct since 25% is not listed in options A-D.

Multiple choice

Difference between sold prices while selling in 25% profit and 20% profit, is Rs.10. What is the cost price of an article? किसी वस्तु के विक्रय मूल्य में , 25% लाभ और 20% लाभ में बेचने में अंतर 10 रु है। वस्तु का क्रय मूल्य क्या है?

  1. Rs.180 रु.180

  2. Rs.187 रु.187

  3. Rs.195 रु.195

  4. Rs.200 रु.200

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

Let cost price be CP. Selling price at 25% profit = 1.25 CP. Selling price at 20% profit = 1.20 CP. Difference = 1.25 CP - 1.20 CP = 0.05 CP = Rs. 10. Therefore CP = 10/0.05 = Rs. 200. The 5% difference in profit rates equals Rs. 10.

Multiple choice

Archana purchased a sandal whose marked price was 800 after two successive discounts 25% and 30%. If she sell this sandal to her friend Meena at Rs. 451.5. Find her profit percent? अर्चना ने एक सैंडल दो क्रमागत छूट 25% तथा 30% के बाद खरीदा जिसका अंकित मूल्य 800 रूपये था । पुनः उसने यह सैंडल अपनी दोस्त मीना को 451.5 रूपये में बेच दिया। उसका लाभ प्रतिशत ज्ञात कीजिए।

  1. 10%

  2. 12.5%

  3. 7.5%

  4. 15%

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

Marked price = Rs. 800. After 25% discount: 800 × 0.75 = Rs. 600. After 30% discount: 600 × 0.70 = Rs. 420 (this is Archana's cost price). Selling price to Meena = Rs. 451.5. Profit = 451.5 - 420 = Rs. 31.5. Profit percentage = (31.5/420) × 100 = 7.5%.

Multiple choice

Garima bought 15 toys for Rs.10 and sold 10 toys for Rs. 15. How much percent she gain or loss on whole? गरिमा ने 10 रुपये के 15 खिलौने खरीदे और 15 रुपए के 10 खिलौने बेच दिए । उसे कुल कितना लाभ या हानि हुई ?

  1. 110%

  2. 113%

  3. 117%

  4. 123%

  5. 125%
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Cost price per toy = Rs. 10/15 = Rs. 2/3. Selling price per toy = Rs. 15/10 = Rs. 3/2. Profit per toy = Rs. (3/2 - 2/3) = Rs. 5/6. Profit percentage = (5/6) ÷ (2/3) × 100 = (5/6) × (3/2) × 100 = (15/12) × 100 = 125%.

Multiple choice

A trader earns a profit of 20% after giving a discount of 20% on the marked price. How much percent should he reduce his marked price so that he can get a profit of 19 % after giving a discount of 12.5% on the new marked price? एक व्यापारी अंकित मूल्य पर 20% की छूट देने के बाद 20% का लाभ कमाता है। उसे अपने अंकित मूल्य को कितना प्रतिशत कम करना चाहिए ताकि नए अंकित मूल्य पर 12.5% की छूट देने के बाद उसे 19% का लाभ मिल सके?

  1. 6%

  2. 7%

  3. 9.33%

  4. 7.5 %

  5. none of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. After 20% profit, SP = 120. This SP is after 20% discount on MP, so 0.8 × MP = 120, MP = 150. For new scenario: Want 19% profit, so target SP = 119. This is after 12.5% discount on new MP, so 0.875 × New MP = 119, New MP = 119/0.875 = 136. Percentage reduction = (150-136)/150 × 100 = 14/150 × 100 = 9.33%.

Multiple choice

What price should a shop-keeper mark an article that is worth is Rs. 1500. Such that he may after a discount of 25% on marked price still make a profit of 15%? रू. 1500 मूल्य वाली वस्तु पर एक दुकानदार कितना अंकित मूल्य डाले ताकि उसको 25% बट्टे में बेचने पर उसे 15% का लाभ हो जाए?

  1. Rs./रू.2200

  2. Rs./रू. 2300

  3. Rs./रू.2000

  4. Rs./रू.2400

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP=Rs 1500. Profit needed=15%, so SP=1500×1.15=Rs 1725. After 25% discount on MP, 0.75×MP=1725, so MP=1725÷0.75=Rs 2300.

Multiple choice

What is percentage profit in selling an article at a discount of 20% which was earlier being sold at a 40% profit? किसी वस्तु को 20 % छूट में बेचने पर क्या लाभ होगा जबकि पहले बिना छूट के बेचने पर 40 % का लाभ होता था ?

  1. 9%

  2. 11%

  3. 12%

  4. 15%

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

Let CP = 100. Original SP at 40% profit = 140. After 20% discount, new SP = 140 × 0.8 = 112. Profit = 112 - 100 = 12, which is 12%. Option C is correct. The key is working backwards from cost price and tracking the discount on the marked price.

Multiple choice

6% more is gained by selling a coat for Rs. 1425 than by selling it for Rs. 1353. The cost price of the coat is – रु. 1425 में एक कोट बेचने पर 6% अधिक लाभ प्राप्त होता है तो रु. 1353 में बेचने पर कोट का क्रय मूल्य क्या होगा ?

  1. Rs. 1160 रु. 1160

  2. Rs. 1195 रु. 1195

  3. Rs. 1200 रु. 1200

  4. Rs. 1220 रु. 1220

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

Let cost price = x. 6% more gain means the difference in selling prices (1425-1353=72) equals 6% of cost price. So 0.06x = 72, x = 72/0.06 = 1200. Therefore cost price is Rs. 1200.

Multiple choice

The C.P. of 40 articles is equal to S.P. of 50 articles. Find the gain or loss percent? 40 वस्तुओं का क्रय मूल्य ,50 वस्तुओं के विक्रय मूल्य के बराबर है। लाभ या हानि प्रतिशत क्या होगा ?

  1. Profit of 16% 16% का लाभ

  2. Loss of 16% 16% का हानि

  3. Profit of 20% 20% का लाभ

  4. Loss of 20% 20% का हानि

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

Let CP of 1 article be x and SP of 1 article be y. Given: 40x = 50y, so y = 0.8x. This means SP is 80% of CP, indicating a loss of 20%. The shopkeeper loses 20 paise on every rupee of cost price.

Multiple choice

A shopkeeper marks up his article at such a price that he can make a profit of 36%. But at such higher price for that article no one is ready to purchase so he gives 40% discounts on it. Then find his overall profit % or loss%?

  1. 16.8% loss

  2. 18.4%loss

  3. 4%profit

  4. 1.5%loss
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let cost price = 100. Marked price for 36% profit = 136. After 40% discount on marked price, selling price = 136 - 0.4×136 = 136 - 54.4 = 81.6. Since cost price = 100, loss = 100 - 81.6 = 18.4. Loss percent = 18.4%.

Multiple choice

Preetam sold two articles for Rs 169.875 and he gains the cost price of three articles. Find this profit percent?

  1. 120

  2. 140

  3. 150

  4. 125
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost price of one article = x. Selling price of 2 articles = 169.875. Profit = CP of 3 articles = 3x. So SP = CP + Profit gives 169.875 = 2x + 3x = 5x, so x = 33.975. Profit on 2 articles = 3x = 101.925. Cost of 2 articles = 2x = 67.95. Profit percent = (Profit/CP) × 100 = (101.925/67.95) × 100 = 150%.

Multiple choice

A shopkeeper bought an article at Rs. 1800 and marked price 7/18 more than cost price. He gives two successive discounts of 20 % and 25 %. Find the selling price of article. एक दुकानदार ने एक वस्तु 1800 रु में खरीदी और अंकित मूल्य क्रय मूल्य से 7/18 अधिक रखा । वह 20% और 25% की दो लगातार छूट देता है। वस्तु का विक्रय मूल्य ज्ञात कीजिये।

  1. 1500 Rs.

  2. 1870 Rs.

  3. 1250 Rs.

  4. Can’t be determined निर्धारित नहीं किया जा सकता है

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

CP = Rs. 1800. Marked Price = CP + 7/18 of CP = 1800 + (7/18)×1800 = 1800 + 700 = Rs. 2500. First discount 20%: 2500 × 0.8 = 2000. Second discount 25%: 2000 × 0.75 = Rs. 1500. Selling Price = Rs. 1500.

Multiple choice

If a discount of 4% is given on a product; then there is a profit of 20%. Find the percentage profit on the original selling price?

  1. 33.33 %

  2. 32 %

  3. 25%

  4. 27.5 %

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

Let CP = 100. After 20% profit, SP = 120. This 120 is after 4% discount on marked price, so 0.96 × MP = 120, giving MP = 125. Original profit on MP = (125-100)/100 = 25%. The question asks for percentage profit on the original selling price (marked price), which is 25%.