Question

A person invests altogether a sum of Rs. 3800 at 6%, 8% and 10% p.a. as S.I.. After one year he gets the same interest in all the three investments. The money invested at 6%, 8% and 10% simple interest is

• A. 1212.8, 970.2,1617
• B. 970.2, 1617, 12128
• C. 1617, 1212.8, 970.2
• D. 1212.8, 1617, 970.2
• E. None of these

Answer 1

The correct option is C

1617, 1212.8, 970.2

$p+q+r=3800$

$\frac{p\times 6}{100}=\frac{q\times 8}{100}=\frac{r\times 10}{100}=K$

$\frac{K}{6}+\frac{K}{8}+\frac{K}{10}=38$

$K$ = 97.02

$p$ = 1617; $q$ = 1212; $r$ = 970