Vishwas borrowed a total amount of Rs. 30000, part of it on simple interest rate of 12 p.c.p.a. and remaining on simple interest rate of 10 p.c.p.a. If at the end of 2 year she paid in all Rs. 36480 to settle the loan amount, what was the amount borrowed at 12 p.c.p.a ?
A. Rs. 12000 B. Rs. 16000 C. Rs. 17500 D. Rs. 18000 Answer: Option AShow Answer
Solution(By Apex Team)
Let the sum borrowed at 12% p.a. be Rs. x
and that borrowed at 10% p.a. be Rs. (30000 – x)
S.I. at the end of 2 years
= Rs. (36480 – 30000)
= Rs. 6480
$\begin{array}{l}\therefore\left(\frac{x\times12\times2}{100}\right)+\left[\frac{(30000-x)\times10\times2}{100}\right]=6480\\
\Leftrightarrow24x+600000-20x=648000\\
\Leftrightarrow4x=48000\\
\Leftrightarrow x=12000\end{array}$
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