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A and B start an enterprise together, with A as active partner. A invests $₹$ 4000 and $₹$ 2000 more after 8 months. 8 invests $₹$ 5000 and withdraws $₹$ 2000 after 9 months. Being the active partner, A takes $₹$ 100 per month as allowance, from the profit. What is the share of B if the profit for the year is $₹$ 6700?

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$₹$ 3350

$₹$ 3250

$₹$ 2700

$₹$ 2800

answer is C.

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Detailed Solution

Total investment made by A= (4000 x 8 + 6000 x 4) =56,000

Total investment made by B = (5000 x 9 + 3000 x 3) = 54,000 Total profit = 6700 A takes $₹$ 100 per month as allowance for 1 year = 1200

$∴$ Remaining profit = (6700 - 1200) = 5500

Share of profit of A and B $= \frac{56}{54} = \frac{28}{27}$

$∴$ Share of $B = \frac{5500}{55} \times 27 = 2700$

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