Question

Some pencils are purchased at the rate of 4 pencils for Rs. 5 and sold at the rate of 5 pencils f
Rs. 4. Find the loss per cent.
10
es and sells​

Answer 1

Loss % = 36 %

Step-by-step explanation:

Given:

• Cost price of 4 pencils is Rs 5.
• Selling price of 5 pencils is Rs 4.

To Find:

• What is the loss percent ?

Solution: First of all let's find out cost price and selling price of one pencil.

Cost of 1 pencil = 5/Number of pencils

∴ C.P of 1 pencil = 5/4 = Rs 1.25

Selling price of 1 pencil = 4/Number of pencils

∴ S.P of 1 pencil = 4/5 = Rs 0.8

[ On comparing both C.P & S.P ]

• S.P < C.P (Here is a loss)

As we know that ,

Loss = C.P – S.P

➟ Loss = Rs (1.25 – 0.8)

➟ Rs 0.45

Loss % = Loss/C.P(100)

➟ Loss % = 0.45/1.25(100) %

➟ (45/1.25) %

➟ 36 %

Hence, the loss percent is 36%.

Answer 2

Step-by-step explanation:

Given that, some pencils are purchased at the rate of 4 pencils for Rs. 5 and sold at the rate of 5 pencils for Rs. 4.

We have to find the loss percentage and sells.

4 pencils are brought for 5 rupees. The Cost Price of one pencil = 5/4 = Rs. 1.25 .............(1)

Sale Price of one pencil = 4/5 = Rs. 0.80 ..............(2)

Loss per pencil = eq (1) - (2)

= Rs. 1.25 - Rs. 0.80 = Rs. 0.45

Loss% = (Loss × 100)/C.P.

Substitute the values,

Loss% = (0.45 × 100)/1.25

Loss% = 45/1.25

Loss% = 36%

Hence, the loss percentage is 36% and selling price is Rs. 0.80.