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A merchant lent out Rs. 1,270 in two parts, one at 12% and the other at 7% interest. The yearly average come out to be 8%, Find the amount lent in two parts.1). Rs. 256, Rs. 10142). Rs. 250, Rs. 10203). Rs. 254, Rs. 10164). Cannot be determined |
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Answer» LET Rs. 1270 be divided into two parts x and y Given, We can WRITE now, (12% of x) + (7% of y) = 8% of (x + y) ⇒ 0.12x + 0.07y = 0.08x + 0.08y ⇒ 0.04x = 0.01y ⇒ x/y = ¼ So, x = 1/5 × 1270 = 254, y = 4/5 × 1270 = 1016 ∴ The required two parts of the amount = Rs. 254 and Rs. 1016. |
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