By selling a chair for ₹1440, a shopkeeper loses 10%. At what price did he buy it

Solution:

Given, a shopkeeper sells a chair at ₹1440

The shopkeeper loses 10%

We have to find the cost price.

We know, Loss = CP - SP

Loss = CP - 1440

We know, Loss% = Loss/CP × 100

10 = (CP - 1440)/CP × 100

10/100 = CP/CP - 1440/CP

1/10 = 1 - 1440/CP

1/10 - 1 = -1440/CP

-9/10 = -1440/CP

9/10 = 1440/CP

CP = 1440 × 10/9

= 160 × 10

= 1600

Therefore, the cost price is ?1600.

✦ Try This: By selling a table for ₹450, a shopkeeper loses 5%. At what price did he buy it

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 109

By selling a chair for ₹1440, a shopkeeper loses 10%. At what price did he buy it

Summary:

By selling a chair for ₹1440, a shopkeeper loses 10%. The price at which he bought it is ₹1600

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