A) 25 years
B) 20 years
C) 15 years
D) 10 years
Correct Answer: A
Solution :
Let the present age of man = x yr. Now, after 15 years his age will be \[=P{{\left( 1+\frac{R}{100} \right)}^{n}}\]yr and 15 year ago his age \[=\frac{R}{{{\left( 1+\frac{R}{100} \right)}^{n}}}\] yr. \[{{R}_{1}}%\] According to the question, \[{{R}_{2}}%\] \[=P\left( 1+\frac{{{R}_{1}}}{100} \right)\times \left( 1+\frac{{{R}_{2}}}{100} \right).\] \[=P{{\left( 1-\frac{R}{100} \right)}^{n}}.\] \[=\frac{P}{{{\left( 1-\frac{R}{100} \right)}^{n}}}\] \[\frac{a}{b}=K\] \[{{a}_{1}}\] \[{{b}_{1}}\] Hence, man's present age = 25 years.
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