a) Rs. 8000
b) Rs. 8200
c) Rs. 8400
d) Rs. 8800
Answer: a
Explanation:
Let the share of the younger and elder sons be Rs. x and Rs. (16400 – x)
Then, amount of Rs. x after 3 years = Amount of Rs. (16400 – x) after 2 years
$$\eqalign{
& x{\left( {1 + \frac{5}{{100}}} \right)^3} = \left( {16400 – x} \right){\left( {1 + \frac{5}{{100}}} \right)^2} \cr
& x\left( {1 + \frac{5}{{100}}} \right) = \left( {16400 – x} \right) \cr
& \frac{{21x}}{{20}} + x = 16400 \cr
& \frac{{41x}}{{20}} = 16400 \cr
& x = \left( {\frac{{16400 \times 20}}{{41}}} \right) \cr
& x = 8000 \cr} $$
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