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# Suhana sells a sofa set for ₹9600 making a profit of 20%. What is the C.P. of the sofa set?

**Solution:**

Given, Suhana sells a sofa set for ₹9600

She makes a profit of 20%

We have to find the C.P. of the sofa set.

Let the cost price be ₹100

Profit = 20% of cost price

= (20/100) × 100

Profit = ₹20

Profit = selling price - cost price

20 = selling price - 100

Selling price = 20 + 100

Selling price = ₹120

When CP = ₹100; SP = ₹120

If SP = ₹9600, CP = ?

CP = (100/120) × 9600

= (5/6) × 9600

= 5 × 1600

= ₹8000

Therefore, CP = ₹8000

**✦ Try This: **Rahul sells a sofa set for ₹6000 making a profit of 10%. What is the C.P. of the sofa set?

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

**NCERT Exemplar Class 7 Maths Chapter 7 Sample Problem 8**

## Suhana sells a sofa set for ₹9600 making a profit of 20%. What is the C.P. of the sofa set

**Summary:**

Suhana sells a sofa set for ₹9600 making a profit of 20%. The C.P. of the sofa set is ₹8000.

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