₹5200 was partly invested in scheme A at 10%pa CI for 2 years and Partly invested in Scheme B at 10%pa SI for 4 years. Both the schemes earn equal interests. How much was invested in scheme A?

Options

A. ₹1,790
B. ₹2,200
C. ₹3,410
D. ₹2,670

Answer

C

Explanation

Amount inversted in Scheme B =x
Amount inversted in Scheme A = 5200-x
` x xx 10 xx 4/100 = ( 5200 -x) xx 21/100`
` [ (1- 10/100)2-1 ] = 21/100`
` Rightarrow 40x//100 = ( 5200 -x) xx 21/100`
` (2x) /5 = ( 5200-x) xx 21/100`
` 200x = 5200 xx 21 xx 5 - x xx 5 xx 21`
` 200 x = 546000 - 105 x `
` 305 xx = 546000`
x= 1790
Scheme A = 5200 - 1790 = 3410