Two friends Prakash and Santosh started a business investing in the ratio of 4 5 Ranjan joined ...........

Quantitative Aptitude (CDS) Partnership

Two friends Prakash and Santosh started a business investing in the ratio of 4:5. Ranjan joined them after six months investing an amount equal to that of Santosh's. At the end of the year, 25% profit was earned which was equal to Rs. 5250. What was the amount invested by Ranjan?

Rs. 8310

Rs. 9510

Rs. 9130

Rs. 10020

Explanation:

Let the total profit be Rs. x
Then, 25% of x = 5250
x = (5250×100/25) = 21000
Let capitals of Prakash, Santosh and Ranjan Be Rs. 4x, Rs. 5x and 5x respectively. Then,
(4x ×12) + (5x ×12) + (5x×6) = 21000×12
138x = 252000
x = 252000/138
x = 1826
Ranjan's investments = 5x = Rs. (5×1826)
= Rs. 9130