Question 66

A borrowed ₹4800 from B at 9% per annum simple interest for 3 years. He then added some more money to the borrowed sum and lent it to C for the same period at 12% per annum simple interest. If A gains ₹720 in the whole transaction, how much money did he add from his side?

Name: A borrowed ₹4800 from B at 9% per annum simple interest for 3 years. He then added some more money to the borrowed sum and lent it to C for the same period at 12% per annum simple interest. If A gains ₹720 in the whole transaction, how much money did he add from his side?
Uploaded: 2026-04-27T20:19:29.160815+05:30
Duration: 11 min 1 s
Description: A borrowed ₹4800 from B at 9% per annum simple interest for 3 years. He then added some more money to the borrowed sum and lent it to C for the same period at 12% per annum simple interest. If A gains ₹720 in the whole transaction, how much money did he add from his side?

Solution

Total amount of interest given by A to B = $$\frac{4800 * 9 * 3}{100}$$ = Rs.1296

Let extra amount added by A = X

Total amount of interest received by A to C = $$\frac{(4800 + X) * 12 * 3}{100}$$ = (1728 + 0.36X)

Now,

(1728 + 0.36X) - 1296 = 720

0.36X = 288

X = 800

Hence, extra amount added = Rs.800

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