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.

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