A lent Tk. 4000 to two persons for one year. Some amount was lent at 5% and the rest at 4%. He got Tk. 180 as interest. How much money was lent at 5%?

A lent Tk. 4000 to two persons for one year. Some amount was lent at 5% and the rest at 4%. He got Tk. 180 as interest. How much money was lent at 5%? Correct Answer 2000

Interest, I = P n r Let the amount lent at 5% be M. Now, M x 1 x 5/100 + (4000 - M) x 1 x 4/100 = 180 or, 5M + 4(4000 - M) = 180 x 100 [multiply both sides by 100] or, 5M + 16000 - 4M = 18000 or, M = 18000 - 16000 =  2000 TK
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