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A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched Rs. 5100 more. The sum is

a) Rs. 1,20,000
b) Rs. 1,25,000
c) Rs. 1,50,000
d) Rs. 1,70,000

Answer: d
Explanation:
$$\eqalign{ & {\text{Let the sum be Rs}}{\text{. }}x{\text{ and}} \cr & {\text{original rate be R}}\% \cr & \frac{{x \times \left( {{\text{R}} + 1} \right) \times 3}}{{100}} – \frac{{x \times {\text{R}} \times 3}}{{100}} = 5100 \cr & 3{\text{R}}x + 3x – 3{\text{R}}x = 510000 \cr & 3x = 510000 \cr & x = 170000 \cr & {\text{Sum}} = {\text{Rs}}.170000 \cr} $$

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