The compound interest earned by Sachin on a certain amount at the end of two years at the rate of 8 p.c.p.a. was Rs 1414.40. What was the total amount that Sachin got back at the end of 2 years in the form of principal plus interest earned (a) Rs 8914.40 (b) Rs 9014.40 (c) Rs 9414.40 (d) Rs 9914.40 (e) None of these

Options

A. ₹9414.4
B. ₹9914.4
C. ₹ 9014.4
D. ₹ 8914.4

Answer

B

Explanation

`Cl= p [ ( 1+ R/100)^(T)-1] `
` Rightarrow 1414.4=P [ ( 1+ 8/100)^(2)-1]`
`1414.4= P xx 0.1664`
`Rightarrow P = ( 1414.4)/(0.1664) = ₹ 85000`
Amount = ₹ ( 8500 + 1414.4)
= ₹ 9914.4