$A$ borrowed Rs. $2, 500$ from $B$ at $12$ % per annum compound interest. After $2$ years, $A$ gave Rs. $2, 936$ and a watch to $B$ to clear the account. Find the cost of the watch.

Rs.

100

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Rs.

200

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Rs.

300

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Rs.

400

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Solution

The correct option is A Rs. $200$
$\Rightarrow$ $P =$ Rs. $2500, R = 12 %$ and $T = 2$ years
$\Rightarrow$ $A = P (1 + \frac{R}{100})^{T}$

$\Rightarrow$ $A = 2500 \times (1 + \frac{12}{100})^{2}$

$\Rightarrow$ $A = 2500 \times \frac{28}{25} \times \frac{28}{25}$

$\Rightarrow$ $A =$ Rs. $3136.$
$\Rightarrow$ Cost of Watch $=$ Rs. $(3136 - 2936) =$ Rs. $200$

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A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.

The correct option is A Rs. 200⇒ P=Rs. 2500,R=12% and T=2years⇒ A=P(1+R100)T⇒ A=2500×(1+12100)2⇒ A=2500×2825×2825⇒ A=Rs. 3136.⇒ Cost of Watch =Rs. (3136−2936)= Rs. 200

$A$ borrowed Rs. $2, 500$ from $B$ at $12$ % per annum compound interest. After $2$ years, $A$ gave Rs. $2, 936$ and a watch to $B$ to clear the account. Find the cost of the watch.