Mukul Atul and Rahul started a business Mukul invested 2 7th of the total investment and the total i...........

Quant (SSC) Partnership

Mukul, Atul and Rahul started a business. Mukul invested 2/7th of the total investment and the total investment of Mukul and Atul is equals to the investment of Rahul. If they distributed profit in the capital ratio and Atul received Rs 1530, find the total profit.

Rs 6550

Rs 6920

Rs 7140

Rs 7350

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Explanation:

Let the total investment = Rs x
Mukul's investment = X x 2 /7
Rest investment = X - X x 2 /7 = 5x /7
Let Atul's investment = Rs a,Rahul's investment = Rs b
Rahul's investment + Atul's investment = 5x /7
a + b = 5x /7
b = 5x /7 - a.........i
According to the question,
2x /7 + a = b
5x /7 - a = 2x /7 + a (value of b is taken out from equation i)
5x /7 - 2x /7 = a + a
3x /7 = 2a
a = 3x /14 = Atul's investment
Rahul's investment = x – 3x /14 - 2x /7
= 14x - 3x - 4x /14 = 7x /14 = x /2
Investment Ratio,
Mukul : Atul : Rahul = 2x /7 : 3x /14 : x /2
= 4 : 3 : 7
As Atul's Profit = Rs.1530
Total profit = 1530 /3 x 14 = Rs. 7140