A sum of ₹ 1,727 is divided into three parts A, B and C so that their amounts after 3, 4 and 5 years, respectively, are equal, the rate of simple interest being 5% per annum. How much is A?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹ 600.
Given:
A sum of ₹ 1,727 is divided into three parts A, B and C.
Rate = 5%
Formula used:
Amount = Principle + (Principle × rate × time)/100 ---- (1)
Calculations:
According to the question;
Let the principle of A, B and C be a, b and c and using equation (1)
⇒ a + (a × 5 × 3)/100 = b + (b × 5 × 4)/100 = c + (c × 5 × 5)/100
⇒ 115a = 120b = 125c/100
⇒ A : B : C = 600 : 575 : 552
⇒ Now, we know A + B + C = 1727
⇒ 600 + 575 + 552 = 1727
⇒ 1 unit = 1
Hence, amount of part A = ₹ 600