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Two partner’s P and Q are into same business. The initial investment of P in the business was Rs. 42000. Later after 6 months, Q joined the business with Rs. 56000. P received Rs. 62370 as profit including 12% of profit as a token of appreciation for managing the business till the end of the year. How much profit did Q receive?

Two partner’s P and Q are into same business. The initial investment of P in the business was Rs. 42000. Later after 6 months, Q joined the business with Rs. 56000. P received Rs. 62370 as profit including 12% of profit as a token of appreciation for managing the business till the end of the year. How much profit did Q receive? Correct Answer Rs. 33880

We know that the ratio of the profit of P and Q will be equal to the ratio of product of their investments and Time period

P worked in total for 12 months with investment Rs. 42000

Q worked in total for 6 months with investment Rs. 56000

⇒ Ratio of their profits = (42000 × 12) : (56000 × 6)

⇒ (42 × 12) : (56 × 6)

⇒ 3 : 2

Let the total profit = ‘K’

⇒ Token of appreciation received by P for managing the business = (12% × K)

⇒ (12/100) × K

⇒ 3K/25

Remaining Profit = K - (3K/25)

⇒ Remaining Profit = (22K/25)

Remaining profit of (22K/25) will be shared between P and Q in the ratio of 3 : 2

Total profit received by P = (3K/25) +

⇒ (3K/25) + = 62370

⇒ (3K/25) + (66K/125) = 62370

⇒ (15K + 66K)/125 = 62370

⇒ 81K/125 = 62370

⇒ K = (62370 × 125)/81

⇒ K =770 × 125

⇒ K = Rs. 96250

Q ‘s profit = 35.2% of 96250

∴ Q’s profit = Rs. 33880

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