Question

8.P,Q,R are partners in the ratio of
5:3:2. Before P's salary of rs. 70,000
firm's profit is rs 5,70,000. How much
in total P will receive from the firm ? ​

Answer 1

ANSWER :

• ❖ If P, Q and R are partners in the ratio of 5 : 3 : 2 and before P's salary of Rs. 70,000 firm's profit is Rs. 5,70,000; then the total amount received by P from the firm will be Rs. 3,20,000.

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SOLUTION :

❒ Given :-

• P, Q and R are partners in the ratio of 5 : 3 : 2.

• Before P's salary, firm's profit is Rs. 5,70,000.

• Salary of P is Rs. 70,000.

❒ To Calculate :-

• Total amount received by P from the firm = ?

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❒ Calculation :-

Here,

• Before P's salary, firm's profit = Rs. 5,70,000.

• Salary of P = Rs. 70,000.

Thus,

• ✠ Profit after P's salary = Profit before P's salary - Salary of P

➨ Profit after P's salary = Rs. 5,70,000 - Rs. 70,000

➨ Profit after P's salary = Rs. 5,00,000

So,

• ✠ Distributable Profit = Profit after P's salary

➨ Distributable Profit = 5,00,000

Now,

• ✠ This profit will be distributed among P, Q and R in the ratio 5 : 3 : 2.

➨ Share of Profit of P = $\sf{\dfrac{5}{10}}$

So,

• ★ Amount of Profit received by P = $\sf{\dfrac{5}{10}}$ of Rs. 5,00,000

➨ Amount of Profit received by P = $\sf{\dfrac{5}{10}}$ × Rs. 5,00,000

➨ Amount of Profit received by P = Rs. 2,50,000

Again,

• Salary of P = Rs. 70,000

Hence,

• ✪ Total Amount received by P from the firm = Amount of Profit received by P + Salary of P

⇒ Total Amount received by P from the firm = Rs. 2,50,000 + Rs. 70,000

∴ Total Amount received by P from the firm = Rs. 3,20,000

Answer 2

Here,

Before P's salary, firm's profit = Rs. 5,70,000.

Salary of P = Rs. 70,000.

Thus,

✠ Profit after P's salary = Profit before P's salary - Salary of P

➨ Profit after P's salary = Rs. 5,70,000 - Rs. 70,000

➨ Profit after P's salary = Rs. 5,00,000

So,

✠ Distributable Profit = Profit after P's salary

➨ Distributable Profit = 5,00,000

Now,

✠ This profit will be distributed among P, Q and R in the ratio 5 : 3 : 2.

➨ Share of Profit of P = 5/10 = ½

So,

★ Amount of Profit received by P = ½ of Rs. 5,00,000

➨ Amount of Profit received by P = ½ × Rs. 5,00,000

➨ Amount of Profit received by P = Rs. 2,50,000

Again,

Salary of P = Rs. 70,000

Hence,

✪ Total Amount received by P from the firm = Amount of Profit received by P + Salary of P

⇒ Total Amount received by P from the firm = Rs. 2,50,000 + Rs. 70,000

∴ Total Amount received by P from the firm = Rs. 3,20,000