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A sum when reckoned at 15% Simple interest amounts to ₹1,750 in 5 years. Find the sum?

  • A.₹750
  • B.₹850
  • C.₹1,000
  • D.₹1,100

Answer: C

The amount is the principal plus the simple interest, \(A = P(1 + rt)\). With the rate 15 per cent and the time 5 years, \(rt = 0.75\).

\[ 1750 = P \times 1.75 \] \[ P = \frac{1750}{1.75} = 1000 \]

So the sum is 1,000 rupees. Check: the interest is \(1000 \times 0.15 \times 5 = 750\), and 1000 + 750 = 1750. The value 750 is just the interest, and 850 and 1,100 do not fit. The answer is 1,000 rupees, option C.

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