Multiple choice

If the sum amounts to ₹9600 in 9 month and ₹ 16000 in 18 month at the same rate of interest per month ,which compounded monthly. Find the sum of money invested? एक धनराशि समान ब्याज दर प्रति माह पर 9 माह में ₹ 9600 और 18 माह में ₹ 16000 हो जाती हैं जोकि चक्रवृद्धि रूप से मासिकी देय है| निवेशित धनराशि ज्ञात कीजिये |

  1. ₹ 5670

  2. ₹ 5760

  3. ₹ 5560

  4. ₹ 5570

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

For compound interest: Amount = P(1+r)^n. Given: P(1+r)^9 = 9600 and P(1+r)^18 = 16000. Dividing: (1+r)^9 = 16000/9600 = 5/3. From first equation: P = 9600/(5/3) = 9600×3/5 = 1920×3 = ₹5760.