Question
The principal which will amounts to Rs. 270.40 in 2 years at the rate of 4% per annum compound interest, is = ?
Answer: Option C
$$\eqalign{
& 4\% = \frac{1}{{25}} \cr
& \,\,\,\,\,\,\,\,\, = \frac{{26 \to {\text{Amount}}}}{{25 \to {\text{Principal}}}} \cr
& {\text{Time = 2 years}} \cr
& {\text{Principal}}\,\,\,\,\,{\text{Amount}} \cr
& \,\,\,\,\,\,\,\,\,{\text{25}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{26}} \cr
& \,\,\,\,\,\,\,\,\,{\text{25}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{26}} \cr
& \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \cr
& \,\,\,\,\,\,\,\,625\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,676 \cr
& \,\,\,\, \downarrow \times 0.4\,\,\,\,\,\, \downarrow \times 0.4 \cr
& \,\,\,\,\,\,\,\,\,250\,\,\,\,\,\,\,\,\,\,\,\,270.40 \cr
& {\text{Hence required principal}} \cr
& {\text{ = Rs.250}} \cr} $$
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$$\eqalign{
& 4\% = \frac{1}{{25}} \cr
& \,\,\,\,\,\,\,\,\, = \frac{{26 \to {\text{Amount}}}}{{25 \to {\text{Principal}}}} \cr
& {\text{Time = 2 years}} \cr
& {\text{Principal}}\,\,\,\,\,{\text{Amount}} \cr
& \,\,\,\,\,\,\,\,\,{\text{25}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{26}} \cr
& \,\,\,\,\,\,\,\,\,{\text{25}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{26}} \cr
& \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \cr
& \,\,\,\,\,\,\,\,625\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,676 \cr
& \,\,\,\, \downarrow \times 0.4\,\,\,\,\,\, \downarrow \times 0.4 \cr
& \,\,\,\,\,\,\,\,\,250\,\,\,\,\,\,\,\,\,\,\,\,270.40 \cr
& {\text{Hence required principal}} \cr
& {\text{ = Rs.250}} \cr} $$
Was this answer helpful ?
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