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Q.

If Rs. 450 amounts to Rs. 540 in 4 years at S.I. What sum amounts to rs. 637.50 in 5 years at the same rate.

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a

Rs. 540

b

Rs. 510

c

Rs. 620

d

Rs. 580

answer is B.

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Detailed Solution

$\frac{450 \times 4 \times R}{100} = 90 \Rightarrow R = 5 %$

$\frac{x \times 5 \times 5}{100} = 637.50 - x$

$\frac{x}{4} = 637.50 - x$

$5 x = 637.50 \times 4$

$= 127.5 \times 4$

$= 510$

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If Rs. 450 amounts to Rs. 540 in 4 years at S.I. What sum amounts to rs. 637.50 in 5 years at the same rate.