Question
The compound interest on Rs.2800 for 18 months at 10% p.a is = ?
Answer: Option B
$$\eqalign{
& {\text{Given,}}\,{\text{Principal}},\,P = Rs.\,2800 \cr
& {\text{Compound}}\,{\text{rate}},\,R = 10\% \,{\text{per}}\,{\text{annum}} \cr
& = \frac{{10}}{2} = 5\% \,{\text{half - yearly}} \cr
& {\text{Amount}} \cr
& = {\text{Rs}}{\text{.}}\left[ {2800 \times \left( {1 + \frac{{10}}{{100}}} \right)\left( {1 + \frac{{5}}{{100}}} \right)} \right] \cr
& = {\text{Rs.}}\left( {2800 \times \frac{{11}}{{10}} \times \frac{{21}}{{20}}} \right) \cr
& = {\text{Rs. }}3234 \cr
& \therefore {\text{C}}{\text{.I}}{\text{. = Rs.}}\left( {3234 - 2800} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}434 \cr} $$
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$$\eqalign{
& {\text{Given,}}\,{\text{Principal}},\,P = Rs.\,2800 \cr
& {\text{Compound}}\,{\text{rate}},\,R = 10\% \,{\text{per}}\,{\text{annum}} \cr
& = \frac{{10}}{2} = 5\% \,{\text{half - yearly}} \cr
& {\text{Amount}} \cr
& = {\text{Rs}}{\text{.}}\left[ {2800 \times \left( {1 + \frac{{10}}{{100}}} \right)\left( {1 + \frac{{5}}{{100}}} \right)} \right] \cr
& = {\text{Rs.}}\left( {2800 \times \frac{{11}}{{10}} \times \frac{{21}}{{20}}} \right) \cr
& = {\text{Rs. }}3234 \cr
& \therefore {\text{C}}{\text{.I}}{\text{. = Rs.}}\left( {3234 - 2800} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}434 \cr} $$
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