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  4. ₹ 5500 becomes ₹ 6325 at certain rate of simple interest in a period of 6 years. On the basis of information given below, choose the correct pair. Column - I Column - II I Rate of interest P 5% II Time reduce to half Q ROI doubled III Interest doubles R 2.5% S Time increase to 12 years

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Q. ₹ 5500 becomes ₹ 6325 at certain rate of simple interest in a period of 6 years. On the basis of information given below, choose the correct pair.
Column - I Column - II
I Rate of interest P 5%
II Time reduce to half Q ROI doubled
III Interest doubles R 2.5%
S Time increase to 12 years

Simple Interest and Compound Interest

Solution:

$\text { Interest }=₹(6325-5500) $
$825=\frac{5500 \times 6 \times r}{100} $
$\Rightarrow r=\frac{825 \times 100}{5500 \times 6}=2.5 \%$
Interest when $ROI$ is doubled is $825 \times 2$ $= ₹ 1650$
Interest when time is half
$=\frac{825}{2}=\text { Rs. } 412.50$