A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remaining at 10% rate of simple interest. If his annual income from interests is Rs. 561, the capital invested was
एक आदमी ने अपनी पूँजी का 1/3 भाग साधारण ब्याज की दर 7% पर तथा 1/4 भाग 8% तथा शेष 10% से निवेशित किया। यदि ब्याज में उसकी वार्षिक आय 561 रुपये हो, तो निवेशित पूँजी है?

Options

A. Rs 5400
B. Rs 6000
C. Rs 6600
D. Rs 7200

Answer

C

Explanation

माना कि पूँजी x है
`x xx(1)/(3)xx(7)/(100)+x xx+(1)/(4)xx(8)/(100)+[x-((x)/(3)+(x)/(4))]xx(10)/(100)=561`
`rArr (7x)/(300)+(2x)/(100)+(50x)/(1200)=561`
`rArr (7x)/(3)+(2x)/(1)+(50x)/(12)=56100`
`rArr (28x+24x+50x)/(12)=56100`
`rArr 10x=56100xx12`
`rArr x=(51100xx12)/(102)`
`rArr x= Rs 6600`