Question

Find the compound interest on rs 8000 for 3 by 2 year at 10 percent per annum interest bearing payable half year

Answer 1

Answer:

$\sf{\underline{\underline{Rs.1261}}}$

Step-by-step explanation:

Given :-

»» Principal = Rs. 8000

»» Time = 3/2 years

»» Rate = 10%

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› ›While finding Compound interest, we should always notice about the condition that is given‹ ‹

The essence of saying is that

The time will change like this -›

Half yearly = 2n

Quarterly = 4n

Annually = n

› › And the rate will be half of itself ‹ ‹

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Coming in the question,

As We know that

C.I = $\sf p_1({1+\frac{1+R}{100}})^{2n}-P_1$

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$\sf{\underline{\underline{Solution:-}}}$

»» C.i =$\sf p_1({1+\frac{5}{100}})^{\frac{3}{2}\times2}-P_1$

»» $\sf P_1({1+\frac{r}{100}})^{\frac{3}{2}\times2}-8000$

»» $\sf 8000({1+\frac{100+5}{100}})^{3}-8000$

»» $\sf\frac{8000\times105\times 105\times105}{1000000}-8000$

»» 9261-8000

»» 1261