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i lent a sum of money at 10 percent p.a. interest and another sum of money at 12 percent p.a. interest. the total money i lent equals rs. 25000. at the end of the one year i received rs. 2900 as total interest . find the amount lent at 12 ercent p.a. interest

shruti soni 15th Dec, 2019

Answer (1)

SAKSHI KULSHRESHTHA 16th Dec, 2019

Let the amount lent at 10% be P.

So the amount lent at 12% is 25000-P.

Now, formula for simple interest is PRT/100, where P is the principal amount lent, R is the rate of interest and T is the time period (in years).

According to the question:

T=1 for both cases

P.10.1/100 + (25000-P).12.1/100 = 2900

=> 10P + 300000 - 12P = 290000

=> -2P + 300000 = 290000

=> 10000 = 2P

=> P = 10000/2 = 5000

25000-P = 25000-5000 = Rs 20000

So the amount lent at 12% interest is 20000.

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