# A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Find her gain or loss%

Let the number of pencils purchased for Rs. 3 = x

The same number of pencils i.e. x is bought for Rs. 6

Total cost price of 2x pencils = Rs. 3 + Rs. 6 = Rs. 9

Selling Price (SP) of 2x pencils is = Rs. 7

Profit made by selling 2x pencils =7 - 9 = - Rs. 2

Therefore a loss of Rs. 2 is made for 2x pencils

Loss% = [ Loss/CP] × 100 = [(2)/(9)] = (2/9) × 100 = 22 2/9%

**✦ Try This:** A lady buys some pencils for Rs 4 and an equal number for Rs 5. She sells them for Rs 8. Find her gain or loss%.

Let the number of pencils purchased for Rs.4= x

The same number of pencils i.e. x is bought for Rs. 5

Total cost price of 2x pencils = Rs. 4 + Rs. 5 = Rs. 9

Selling Price (SP) of 2x pencils is = 8

Profit made by selling 2x pencils = 8 - 9 = - Rs. 1

Therefore a loss of Rs. 1 by selling 2x pencils

Loss% = [ Loss/CP] × 100 = [(1)/(9)] = (1/9) × 100 = 11 1/9%

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 9 Problem 97**

## A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Find her gain or loss%

**Summary: **

A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Her loss is 22 2/9%

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