Discussion
The simple interest on a certain sum for 3.5 years at 10% p.a. is Rs.56 less than the simple interest on the same sum for 4.5 years at 8.4% p.a. What is the sum?
Answer: B
The sum is Rs.2,000. For a sum P, the interest for 3.5 years at 10% is 0.35P and for 4.5 years at 8.4% is 4.5 × 0.084 P = 0.378P. The gap is \[ 0.378P - 0.35P = 0.028P = 56 \Rightarrow P = 2000 \]
2,500, 3,000 and 3,500 would give gaps of 70, 84 and 98 rupees, not 56.
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