Home » Aptitude » Simple interest » Question
  1. Find the annual instalment that will discharge a debt of ₹ 12900 due in 4 years at 5% per annum simple interest.
    1. ₹ 2750
    2. ₹ 2150
    3. ₹ 2500
    4. ₹ 3000
Correct Option: D

Let each equal annual instalment be p.
First instalment is paid after 1 year and hence will remain with the lender for the remaining (4 – 1) = 3 years. Similarly, second instalment will remain with the lender for 2 years, third instalment for 1 year and the final fourth instalment remain p as such.
A = A1 + A2 + A3 + A4
We can find the required answer with the help of given formula ,

A = P
100 + RT
100

⇒ A = p
100 + 5 × 3
+
100 + 5 × 2
+
100 + 5 × 1
+
100 + 5 × 0
100100100100

⇒ 12900 = p
115 + 110 + 105 + 100
100

⇒ 12900 =
430
p
100

⇒ p =
12900× 100
430

⇒ p = ₹ 3000



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