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Meera lent out Rs.20,000 for nine …

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Meera lent out Rs.20,000 for nine months at 20%per annum compounded quarterly to Mrs Sharma . What amount will she get after the expiry of the period ?
  • 1 answers

Yogita Ingle 6 years ago

Using compound interest formula,

{tex}A=P(1+\frac{r}{100})^t{/tex}

Where, A is the amount

P is the principal P=Rs.20,000

r is the rate of interest =20%

{tex}Per quarterly r=\frac{20}{4}=5\%{/tex}

t is the time 9 months

Per quarterly year t={tex}\frac{9}{12}\times 4{/tex}=3 years.

Substitute all values in the formula,

A={tex}20000(1+\frac{5}{100})^3{/tex}

A={tex}20000(1+0.05)^3{/tex}

A={tex}20000(1.05)^3{/tex}

A=20000(1.157625)

A=23152.5

Therefore, The required amount is Rs.23152.5.

 

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