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A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?

A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive? Correct Answer 17,400

Given:

Total investment = 75500

Profit = 45300

Concept used:

Person’s Profit = Investment × Time period

Calculation:

Let x be the investment of C

C = x      ----(1)

B = (x + 4500)      ----(2)

A = (x + 4500 + 3500)      ----(3)

We know that,

x + (x + 4500) + (x + 4500 + 3500) = 75500

⇒ x + (x + 4500) + (x + 8000) = 75500

⇒ 3x + 12500 = 75500

⇒ 3x = 63000

x = 21000

Put the value of x in equation 1, 2, and 3.

A = 29000

B = 25500

C = 21000

Ratio of Profit = 29000 : 25500 : 21000

⇒ 58 : 51 : 42

A’s share = × 45300

∴ Share of A in the business is Rs. 17400.

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