A sum of money amounts to Rs.5,200 in 5 years and to Rs.5,680 in 7 years at simp

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A sum of money amounts to Rs.5,200 in 5 years and to Rs.5,680 in 7 years at simple interest. The rate of interest per annum is

Options:

A . 4%

B . 3%

C . 6%

D . 5%

Answer: Option C
Answer: (c) P + S.I. for 5 years = 5200 ..(i)P + SI for 7 years = 5680 ...(ii)On subtracting equation (i) from (ii),SI for 2 years = 480SI for 1 year = Rs.240From equation (i),P + 5 × 240 = 5200P = 5200 - 1200 = Rs.4000R = ${SI × 100}/{T × P}$= ${240 × 100}/{1 × 4000}$ = 6% Using Rule 12If certain sum P amounts to Rs. $A_1$ in $t_1$ years at rate of R% and the same sum amounts to Rs. $A_2$ in $t_2$ years at same rate of interest R%. Then,(i) R = $({A_1 - A_2}/{A_2T_1 - A_1T_2})$ × 100(ii) P = $({A_2T_1 - A_1T_2}/{T_1 - T_2})$

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