Question
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. Then the sum lent at 10% is:Solution
Let ₹x be the amount lent at 8%.
Then, ₹(4000 - x) is lent at 10%.
Simple interest for 1 year: 8x/100 + 10(4000 - x)/100 = 352
8 x + 40000 − 10 x = 35200
⇒ − 2 x = − 4800
⇒ x = 2400
Amount lent at 10% = 4000 - 2400 = ₹1600.
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