IPMAT Rohtak 2019 (QA) - Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj? | PYQs + Solutions

IPMAT Rohtak 2019

Arithmetic

Ratio, Proportion & Variation

Easy

Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj?

4 Months

7 Months

8 Months

12 Months

Correct Option: 1

The ratio of investments and the ratio of profits are always equal.

Raj invested for the full 12 months, while Monty invested for, say

x

months becase he joined a bit late.

So,

\frac{76000\times12}{57000x}=\frac{2}{1}

x=\frac{76000\times12}{57000\times2}=8

months

Monty invested for 8 months, which would mean he joined after

12-8=4

months