Question discussion

Simple interest on a certain sum at a certain rate for 2 years is Rs. 160 and compound interest on the same sum at the same rate and for th…

96284Medium 2 replies 2,375 views
27
Simple interest on a certain sum at a certain rate for 2 years is Rs. 160 and compound interest on the same sum at the same rate and for the same period is Rs. 170. The rate of interest per annum is :
  • A12%
  • B12.5%
  • C8%
  • D9%
Answer not set
0
CCommunity
Solution
Simple interest remains same in every year.
=> Simple interest for 1 year = Rs. 80
Difference of C.I. and S.I. for two years = Rs.(170 - 160) = Rs. 10
=> Interest for 1 year on Rs. 80 = Rs. 10
=> $\frac{80 \times r \times 1}{100} = 10$
=> $r = \frac{100}{8}$ = 12.5%
0
CCommunity
Solution
Simple interest remains same in every year.
=> Simple interest for 1 year = Rs. 80
Difference of C.I. and S.I. for two years = Rs.(170 - 160) = Rs. 10
=> Interest for 1 year on Rs. 80 = Rs. 10
=> $\frac{80 \times r \times 1}{100} = 10$
=> $r = \frac{100}{8}$ = 12.5%