B borrow ₹ 5,000 from A at 6 % p.a. simple interest and lends it to C at compound interest of 10 %

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6.Interest

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$B$ borrow ₹ $5,000$ from $A$ at $6 \%$ p.a. simple interest and lends it to $C$ at compound interest of $10 \%$ p.a. If $B$ collects the money back from $C$ after $2$ years and repays $A ,$ the profit made by $B$ in the transaction is (In ₹)

A

$1050$

B

$500$

C

$450$

D

$600$

Solution

(c) S.I for $₹ 5000, r=6 \%, n=2$ years

$S.I =\frac{5000 \times 6 \times 2}{100} \times Rs .600$

Amount $=₹ 5600$.

For C.I,

$\begin{aligned} \text { Amount } &= p \left(1+\frac{ r }{100}\right)^{ n } \\ &=5000\left(1+\frac{10}{100}\right)^{2} \\ &= Rs .6050 \end{aligned}$

Profit made by $B$ is

$₹ 6050-5600$

$\Rightarrow ₹ 450$

Standard 13

Quantitative Aptitude

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