A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the ot

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A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352, the sum lent at 8% is

Options:

A . Rs.2200

B . Rs.2900

C . Rs.3100

D . Rs.2400

Answer: Option D
Answer: (d)Principal lent at 8% S.I. = Rs.x.Principal lent at 10% S.I. = Rs.(4000 - x)S.I. = $\text"Principal × Time × Rate"/100$${x × 8}/100 + {(4000 - x) × 10}/100$ = 3528x + 40000 - 10x = 352002x = 40000 - 35200 = 4800x = $4800/2$ = Rs.2400

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