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A sum of Rs 2000 is divided into two parts such that one part is invested at 10 % pa, simple interest and the second part at 15% pa, simple interest. After 2 years, if Rs. 460 are received as interest, then the ration of investments of first and second part is

A) 7 : 4
B) 4 : 3
C) 7 :3
D) 6 : 4

Correct Answer:



C) 7 :3

Description for Correct answer:

Let Rs x invested at 10 % simple interest. Then Rs. (2000 - x) are invested at the rate of 15% simple interest

\( \Large \frac{x \times 10 \times 2}{100} + \frac{(2000 - x)\times 15 \times 2}{100} = 460 \)

= > \( \Large\frac{2x}{10} + \frac{3(2000 - x)}{10} = 460 \)

= > x = 1400

Thus, Rs.1400 are invested at the rate of 10% and Rs. 600 are invested at the rate of 15% simple interest.

Required ratio = 1400 / 600 = 7/3.

Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions

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