Question

A man bought 75m of cloth at Rs. 18per m. At what rate should he sell the cloth per metre so as to gain Rs. 150?

Answer 1

Answer:

He should sell the cloth at 20 Rs per metre

Step-by-step explanation:

Cost of 1 m of cloth = 18 Rs

∴ Cost of 75 m of cloth = 18 × 75 = 1350

SP of 75 m cloth = CP + Profit

                           = 1350 + 150 = 1500 Rs

∴SP of 1 m cloth = 1500÷75=20 Rs

Answer 2

Given:

A man bought 75m of cloth at Rs. 18per m.

To Find:

At what rate should he sell the cloth per meter so as to gain Rs. 150?

Step-by-step explanation:

• The man bought the cloth at the rate of Rs 18 per m .So, the Cost Price of the cloth for 75 m will be

$=75\times 18\\=1350 m^{2}$

• The profit that the man gained should be equal to Rs 150.
• As we already know that , Profit is earned only when the selling price of the thing is greater than the cost price .So, profit will be obtained when we subtract Cost price from Selling price.

$Profit = Selling\ price - Cost \ price \\150=SP - 1350\\SP=1350+150=1500$

• 75m cloth should be sold at Rs 1500. Then 1 m cloth will be sold at

$\frac{1500}{75} =20$

So, the Selling price of 1 m cloth will be Rs 20