What sum of money will amount to Rs.520 in 5 years and to Rs.568 in 7 years at s

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Question

What sum of money will amount to Rs.520 in 5 years and to Rs.568 in 7 years at simple interest ?

Options:

A . Rs.120

B . Rs.400

C . Rs.220

D . Rs.510

Answer: Option B
Answer: (b)Simple interest for 2 years= Rs.(568 - 520) = Rs.48Interest for 5 years= Rs.$48/2 × 5$ = Rs.120Principal = Rs.(520 - 120) = Rs.400Using Rule 12,P = $({A_2T_1 - A_1T_2}/{T_1 - T_2})$=$({568 × 5 - 520 × 7}/{5 - 7})$= $({2840 - 3640}/{-2})$=${- 800}/{- 2}$ = Rs.400

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