Question
The compound interest on Rs. 6000 at 10% per annum for $${\text{1}}\frac{1}{2}$$ years, when the interest being compounded annually, is = ?
Answer: Option C
$$\eqalign{
& {\text{Principal = Rs 6000}} \cr
& {\text{Rate }}\% {\text{ = 10}}\% \cr
& {\text{Time (t) = 1}}\frac{1}{2}{\text{ years}} \cr} $$
$$\eqalign{
& {{\text{2}}^{{\text{nd}}}}{\text{ year CI = 660}} \cr
& {\text{6 months }}{{\text{2}}^{{\text{nd}}}}{\text{ year CI}} \cr
& {\text{ = }}\frac{{660}}{2}{\text{ = 330}} \cr
& {\text{Total CI}} \cr
& {\text{ = }}\left( {600 + 330} \right) \cr
& \,\, = 930 \cr} $$
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$$\eqalign{
& {\text{Principal = Rs 6000}} \cr
& {\text{Rate }}\% {\text{ = 10}}\% \cr
& {\text{Time (t) = 1}}\frac{1}{2}{\text{ years}} \cr} $$
$$\eqalign{
& {{\text{2}}^{{\text{nd}}}}{\text{ year CI = 660}} \cr
& {\text{6 months }}{{\text{2}}^{{\text{nd}}}}{\text{ year CI}} \cr
& {\text{ = }}\frac{{660}}{2}{\text{ = 330}} \cr
& {\text{Total CI}} \cr
& {\text{ = }}\left( {600 + 330} \right) \cr
& \,\, = 930 \cr} $$
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