The capital invested by 3 people A, B and C are in the ratio of 1: 2 : 3 and profit earned by A is Rs.50 less than that earned by B. Calculate the total profit in the business. [3 Marks]

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Solution

Ratio of their profit = 1 : 2 : 3

Let profit of A be Rs. 1z.
Then, profit of B is Rs. 2z and profit of C is Rs. 3z.

Given that, Profit of B - Profit of A = Rs. 50
2z - 1z = 50
z = Rs. 50 [1 Mark]
Profit of A = 1z = 1 x 50 = Rs. 50

Profit of B = 2z = 2 x 50 = Rs. 100

Profit of C = 3z = 3 x 50 = Rs. 150 [1 Mark]

$∴$ total profit = Profit of A + Profit of B + Profit of C
$\Rightarrow$ Rs. 50 + Rs. 100 + Rs. 150 = Rs. 300 [1 Mark]

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