Math, asked by hiraaaa, 6 months ago

A person invests money in three different schemes for 6 years,10 years and 12 years at 10%, 12% and 15% simple interest respectively.At the completion of each scheme he gets the same interest. The ratio of his investment is ?​

Answers

Answered by Anonymous
1

Answer:

\huge\underline\bold {Answer:}

Let the required ratio be x : y : z. Then,

S.I. on x rupees for 6 years at 10% p.a. = S.I. on y rupees for 10 years at 12% p.a.

 =  >  \frac{x \times 6 \times 10}{100}  =  \frac{y \times 10 \times 12}{100}

 =  >  \frac{x}{y}  =  \frac{2}{1}

S.I. on y rupees for 10 years at 12% p.a. = S.I. on z rupees for 12 years at 15% p.a.

 =  >  \frac{y \times 10 \times 12}{100}  =  \frac{z \times 12 \times 15}{100}  \\  =  >  \frac{y}{z}  =  \frac{3}{2}

x : y = 2 : 1 and y : z = 3 : 2

=> x : y = 6 : 3 and y : z = 3 : 2

=> x : y : z = 6 : 3 : 2

Therefore the ratio of his investments is 6 : 3 : 2.

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