Question
A certain sum of money amounts to Rs.756 in 2 years and to Rs.873 in 3$1/2$ years at a certain rate of simple interest. The rate of interest per annum is
Answer: Option C
Answer: (c)S.I. for 1$1/2$ years= Rs.(873 - 756) = Rs.117S.I. for 2 years= Rs.$(117 × 2/3 × 2)$ = Rs.156Principal = 756 - 156 = Rs.600Now, P = 600, T = 2, S.I. = 156R = ${100 × S.I.}/{P × T}$= ${100 × 156}/{600 × 2}$ = 13%Using Rule 12,Rate of interest= $({A_1 - A_2}/{A_2T_1 - A_1T_2})$ × 100= $({756 - 873}/{873 × 2 - 756 × 7/2}) × 100$= $({- 117}/{1746 - 2646}) × 100$= $({- 117}/{- 900})$ × 100 = 13%
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Answer: (c)S.I. for 1$1/2$ years= Rs.(873 - 756) = Rs.117S.I. for 2 years= Rs.$(117 × 2/3 × 2)$ = Rs.156Principal = 756 - 156 = Rs.600Now, P = 600, T = 2, S.I. = 156R = ${100 × S.I.}/{P × T}$= ${100 × 156}/{600 × 2}$ = 13%Using Rule 12,Rate of interest= $({A_1 - A_2}/{A_2T_1 - A_1T_2})$ × 100= $({756 - 873}/{873 × 2 - 756 × 7/2}) × 100$= $({- 117}/{1746 - 2646}) × 100$= $({- 117}/{- 900})$ × 100 = 13%
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