Multiple choice

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) निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़ें और उसके आधार पर मात्रा I और मात्रा II की तुलना करें। (केवल मात्रा पर विचार किया जाना है|) The compound interest received on Rs. 5000 at x% per annum at the end of 2 years is equal to the simple interest received in four years on Rs. 2650 at the same rate of interest. 2 वर्ष के अंत में प्रति वर्ष x% पर 5000 रु पर मिलने वाला चक्रवृद्धि ब्याज चार वर्षों में 2650 रु पर साधारण ब्याज उसी दर मिलता है। Quantity I: What is the total simple interest received? Quantity II: Rs. 1275 मात्रा I: कुल साधारण ब्याज क्या है? मात्रा II: 1275 रुपये

  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 है
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CI on Rs.5000 for 2 years at x%: 5000[(1+x/100)²-1]. SI on Rs.2650 for 4 years at x%: 2650*4*x/100. Setting equal: 5000[(1+x/100)²-1] = 2650*4*x/100. This gives x = 6%. SI = 2650*4*6/100 = Rs.636. Quantity I = Rs.636. Since 636 < 1275, Quantity I < Quantity II.

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