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Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case ?

a) Rs. 1700
b) Rs. 1800
c) Rs. 1900
d) Rs. 2000

Answer: d
Explanation: Let the amount invested = Rs. P
$$\eqalign{ & \frac{{{\text{P}} \times 9 \times {\text{2}}}}{{100}} + \frac{{{\text{P}} \times {\text{10}} \times {\text{2}}}}{{100}} = 760 \cr & \frac{{ {18{\text{P + 20P}}} }}{{100}} = 760 \cr & 38{\text{P = 76000}} \cr & {\text{P = 2000}} \cr} $$

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