Question
Mr. Duggal invested Rs. 20000 with rate of interest @ 20 p.c.p.a. The interest was compounded half - yearly for first one year ans in the next year it was compounded yearly. What will be the total interest earned at the end of 2 year ?
Answer: Option C
$$\eqalign{
& {\text{Amount}} \cr
& {\text{ = Rs}}.\left[ {20000{{\left( {1 + \frac{{10}}{{100}}} \right)}^2}\left( {1 + \frac{{20}}{{100}}} \right)} \right] \cr
& = {\text{Rs}}.\left( {20000 \times \frac{{11}}{{10}} \times \frac{{11}}{{10}} \times \frac{6}{5}} \right) \cr
& = {\text{Rs}}.29040 \cr
& {\text{C}}{\text{.I}}{\text{. = Rs}}.\left( {29040 - 20000} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}. 9040 \cr} $$
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$$\eqalign{
& {\text{Amount}} \cr
& {\text{ = Rs}}.\left[ {20000{{\left( {1 + \frac{{10}}{{100}}} \right)}^2}\left( {1 + \frac{{20}}{{100}}} \right)} \right] \cr
& = {\text{Rs}}.\left( {20000 \times \frac{{11}}{{10}} \times \frac{{11}}{{10}} \times \frac{6}{5}} \right) \cr
& = {\text{Rs}}.29040 \cr
& {\text{C}}{\text{.I}}{\text{. = Rs}}.\left( {29040 - 20000} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}. 9040 \cr} $$
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