Amu invested Rs 1520  in a business. After few months Rajan  joined him and invests Rs 1140. At the end of year both of them share the profits at the ratio of 2:1. After how many months Rajan joined Amu ?

Amu invested Rs 1520  in a business. After few months Rajan  joined him and invests Rs 1140. At the end of year both of them share the profits at the ratio of 2:1. After how many months Rajan joined Amu ? Correct Answer 4

Calculation:

We can simply compute per month investment of both partnership,

Amu invested Rs 1520  for 12 months and Rajan invested Rs 1140 for x months.

Now 1520 × 12 / 1140 × x = 2 :1

⇒ 76 × 12 / 2 = 57x

⇒ x = 8

So Monty invested his money for 8 months and he joined after 4 months.

∴ Rajan joins after 4 months of amu

Related Questions

For a business, initially A invests Rs. 28,000 and B invests Rs. 30,000. After 4 months, C joins and invests Rs. 16,000 and B withdraws Rs. 4,000. After another 4 months, A invests Rs. 6,000 more and C invests Rs. 4,000 more. After a year the profit earned was Rs. 72,800. How much is A’s, B’s and C’s share?