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Compound Interest

Multiple Choice Questions

51.

There is 100% increase to an amount in 8 yr, at simple interest. Find the compound interest of ₹ 8000 after 2 yr at the same rate of interest.

₹ 2500
₹ 2000
₹ 2250
₹ 2125

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52.

The compound interest earned in two years at 12% per annum is ₹ 10,176/-. What is the sum (in ₹) invested?

₹ 50,000/-
₹ 60,000/-
₹ 40,000/-
₹ 80,000/-

53.
The simple and compound interest that can be earned in two years at the same rate is ₹ 4,000/- and ₹ 4,180/- respectively. What is the rate(% per annum) of interest?

18% per annum

4.5% per annum

9% per annum

12% per annum

9% per annum

Shortcut Method:
When the simple interest and compound interest is given for two years, rate of interest (r%) is given by:
$C . I . = S . I . [1 + \frac{R}{200}]$
$\Rightarrow 4180 = 4000 [1 + \frac{r}{200}] \Rightarrow \frac{418}{400} = 1 + \frac{r}{200} \Rightarrow \frac{r}{200} = \frac{418}{400} - 1 \Rightarrow \frac{r}{200} = \frac{18}{400} \Rightarrow r = 9 %$

Previous Year Papers

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Multiple Choice Questions

53. The simple and compound interest that can be earned in two years at the same rate is ₹ 4,000/- and ₹ 4,180/- respectively. What is the rate(% per annum) of interest? 18% per annum 4.5% per annum 9% per annum 12% per annum

53.
The simple and compound interest that can be earned in two years at the same rate is ₹ 4,000/- and ₹ 4,180/- respectively. What is the rate(% per annum) of interest?

18% per annum

4.5% per annum

9% per annum

12% per annum