a) Rs. 60
b) Rs. 65
c) Rs. 70
d) Rs. 40
Answer: a
Explanation:
$$\eqalign{
& {\text{Principal = Rs}}{\text{. 1750}} \cr
& {\text{Let the first part = }}x \cr
& {\text{Hence second part}} \cr
& {\text{ = }}\left( {1750 – x} \right) \cr
& \Rightarrow x \times \frac{8}{{100}} \times 1 = \left( {1750 – x} \right) \times \frac{6}{{100}} \times 1 \cr
& 4x = 5250 – 3x \cr
& 7x = 5250 \cr
& x = 750 \cr
& {\text{First part = Rs}}{\text{. 750}} \cr
& {\text{ Second part}} \cr
& {\text{ = Rs}}{\text{. }}\left( {1750 – 750} \right) \cr
& {\text{ = Rs}}{\text{. 1000}} \cr
& {\text{Required interest}} \cr
& {\text{ = 750}} \times \frac{8}{{100}} \cr
& {\text{ = Rs}}{\text{. 60}} \cr} $$
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