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The annual instalment (in ₹) to discharge a debt of ₹8,432 due in 4 years at 16% simple interest per annum is:

  1. A
    1,700
  2. B
    1,527
  3. C
    2,108
  4. D
    2,204

Solution & Step-by-step Explanation

Let the annual installment be ₹x.
The debt is due in 4 years at 16% Simple Interest.

The total amount cleared at the end of 4 years by individual installments is:

1st installment clears: x+
100
x×16×3

=x+0.48x=1.48x

2nd installment clears: x+
100
x×16×2

=x+0.32x=1.32x

3rd installment clears: x+
100
x×16×1

=x+0.16x=1.16x

4th installment clears: x

Summing these up to find total debt discharged:

1.48x+1.32x+1.16x+x=8432
4.96x=8432
x=
4.96
8432

=
496
843200

=1700
Thus, the annual installment is ₹1,700.

Practice this question

Try it yourself before checking the explanation above.

The annual instalment (in ₹) to discharge a debt of ₹8,432 due in 4 years at 16% simple interest per annum is:
A
1,700
B
1,527
C
2,108
D
2,204

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