SSC CGL 2017 PYQ — Question 50

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q50

Rs 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is:

Show answer & explanation

Correct answer: B

Explanation

  The correct answer is option 2 i.e. Rs. 137745

Understanding

Application

Suppose the share of Ram = Rs. A

So,

Share of Shyam = Rs. (260200 – A)

Now,

A × (1 + 4/100)3 = (260200 – A) × (1 + 4/100)6

⇒ (1 + 4/100)3 = A/(260200 – A)

⇒ A/(260200 – A) = 1.124864

⇒ A = 292689.6128 – 1.124864A

⇒ 2.124864A = 292689.6128

⇒ A = 137745.1

Hence,

Share of Ram = Rs. 137745