Question

P, q, r subscribe rs. 50,000 for a business. P subscribes rs. 4000 more than q and q rs. 5000 more than r. Out of a total profit of rs. 25,000, what will be p's share?

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ans is=10500 rupees​

Answer 1

The share of p is 10,500.

Explanation:

Given:

P, Q& R subscribe Rs. 50,000 for a business.

P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R.

To Find:

The share of P.

Solution :

• Assumption :

The amount subscribed to R as y.

So,

• Q = y + 5000
• P = y + 5000 + 4000 = y + 9000

Hence,

⇒ y + y + 5000 + y + 9000

⇒ 50000

⇒ 3y = 36000

⇒ y = 12000

Now,

⇒ P: Q: R

⇒ 21000 : 17000 : 12000

⇒ 21: 17: 12

Hence,

P's share :

$\implies \sf 25000 \times \dfrac{21}{50} = \bf Rs. 10,500.$

Answer 2

ANSWER:

P WILL GET ₹ 10,500

GIVEN:

• P, Q, R subscribe rs. 50,000 for a business.

• P subscribes ₹ 4,000 more than Q and Q subscribes ₹ 5,000 more than R.

• Total profit of ₹ 25,000.

TO FIND:

P's share = ??

EXPLANATION:

P + Q + R = ₹ 50,000

P = ₹ 4,000 + Q

Q = ₹ 5,000 + R

P = ₹ 4,000 + ₹ 5,000 + R

P = ₹ 9,000 + R

Substitute the values of P, Q, R in

P + Q + R = ₹ 50,000

₹ 9,000 + R + ₹ 5,000 + R + R = 50,000

3R + ₹ 14,000 = 50,000

3R = ₹36,000

R = ₹ 12,000

Substitute R = ₹ 12,000 in P = ₹ 9,000 + R

P = ₹ 9,000 + ₹ 12,000

P = ₹ 21,000

$\displaystyle Let \: \: x \: \: be \: \: the \: \: value \: \:of \: \: P's \: \: share \\ \\ \frac{21000}{50000} \times 100 = \frac{x}{25000} \times 100 \\ \\ \\ \frac{21000}{50000} = \frac{x}{25000} \\ \\ \\ x = \frac{21000}{50000} \times 25000 \\ \\ \\ x = \frac{21000}{2} \\ \\ \\ x = Rs.10500$

HENCE P WILL GET ₹ 10,500 AS HIS SHARE.