JIPMAT 2021 (QA) - A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600, the money received by A will be | PYQs + Solutions | AfterBoards
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JIPMAT 2021 (QA) PYQs

JIPMAT 2021

Arithmetic
>
Ratio, Proportion & Variation

Easy

A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600, the money received by A will be

Correct Option: 3
Given:\newline- Total profit = ₹96009600\newline- A's capital = ₹1200012000\newline- B's capital = ₹2000020000\newline- A gets 10%10\% of profit for managing\newline- Rest divided in proportion to capital
1) A's managing share = 10%10\% of 96009600 = ₹960960
2) Remaining profit = 96009609600 - 960 = ₹86408640
3) Proportion for remaining profit:\newline A : B = 12000:20000=3:512000 : 20000 = 3 : 5
4) A's share from remaining = 38×8640\frac{3}{8} × 8640 = ₹32403240
5) Total money A receives = Managing share + Proportional share\newline = 960+3240960 + 3240 ==42004200
Therefore, A will receive ₹42004200.

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