Kiran lent ₹4,000 to two persons such that one part of it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of ₹352. Find the sum lent at 10%.

Question

Accepted Answer

Let the sum lent at 8% be ₹x and the sum lent at 10% be ₹(4000 - x).

Simple interest for 1 year:
Interest from 8% part = x × 8% = 0.08x
Interest from 10% part = (4000 - x) × 10% = 0.10(4000 - x)

Total interest = 0.08x + 0.10(4000 - x) = 352

Expanding:
0.08x + 400 - 0.10x = 352
0.08x - 0.10x = 352 - 400
-0.02x = -48
x = -48 / -0.02
x = 2400

So, the sum lent at 8% is ₹2,400.

Therefore, the sum lent at 10% = 4000 - 2400 = ₹1,600.

Final Answer: ₹1,600

Answer

Answer

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