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Arithmetic Ability
Partnership

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Q.

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.

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Correct choice: A

Explanation:

Let the total profit be Rs. x Amount paid to B as salary = (120 x 12) = Rs.1440 Share of each = \inline (\frac{x-1440}{2}) Interest paid by B = \inline \frac{22500\times 10}{100}=Rs.2250 Total money received by A = \inline \frac{x-1440}{2}+2250 = Rs.\inline (\frac{x+3060}{2}) Total money received by B \inline [(\frac{x-1440}{2})+1440-2250]= (\frac{x-3060}{2}) \inline \Rightarrow \frac{1}{2}-(\frac{x+3060}{2})-(\frac{x-3060}{2}) \inline \Rightarrow x=9180
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