Multiple choice

A sum of Rs. 1300 is lent in two parts so that interest on the first part for 3 year at 5% may be equal to the interest on the second part for 4 year at 6%. Find the first sum lent. 1300 रुपये की राशि को दो हिस्सों में ऐसे दिया गया है कि पहले हिस्से पर 5% ब्याज पर 3 वर्ष के लिए दूसरे हिस्से पर 6% ब्याज पर 4 वर्ष के लिए ब्याज के बराबर हो । पहला हिस्सा ज्ञात कीजिये।

  1. Rs. 1000

  2. Rs. 900

  3. Rs. 800

  4. Rs. 700

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

Let first part = x, then second part = 1300 - x. Interest on first part: (x × 5 × 3)/100 = 15x/100. Interest on second part: ((1300-x) × 6 × 4)/100 = 24(1300-x)/100. Setting equal: 15x = 24(1300 - x), so 15x = 31200 - 24x, therefore 39x = 31200 and x = 800. First sum = Rs. 800. Options A, B, D don't satisfy the condition of equal interest.