1.

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

Answer»

LET Rs. 1270 be divided into two parts x and y

Given,

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(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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