# If the cost price of 10 shirts is equal to the selling price of 8 shirts, then which is the following true for the transaction

(a) Profit of 25%

(b) Loss of 25%

(c) Profit of 20%

(d) Loss of 20%

**Solution :**

Let the cost price of a shirt be x

Therefore the cost of 10 shirts will be 10 × (x) = 10x

The Selling price(SP) of eight shirts = 10x (as stated in the problem)

Since cost price of each shirt is x the cost price (CP) of eight shirts will be 8x

Profit made selling 8 shirts = Selling Price of 8 shirts - Cost price of 8 shirts

= 10x - 8x

= 2x

Profit % made by selling 8 shirts will be = [ (SP - CP)/CP] × 100

= [(10x - 8x)/8x] × 100

= [2x/8x] × 100

= [1/4] × 100

= 25% profit

**✦ ****Try this: **If the cost price of 5 shirts is equal to the selling price of 4 shirts, then what is the profit/loss % resulting from the transaction?

Assuming the cost price of each shirt = x

The cost price of 5 shirts will be = 5x

As per the problem statement the selling price of 4 shirts is the cost price of 5 shirts = 5x

Since the cost price of each shirt is x the cost price of 4 shirts = 4x

Profit made by selling 4 shirts at the cost price of five shirts = 5x - 4x = x

Profit % made by selling 4 shirts = [(5x - 4x)/4x] × 100

= (x/4x) × 100

= (1/4) × 100

= 25%

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

**NCERT Exemplar Class 8 Maths Chapter 9 Sample Problem 3**

## If the cost price of 10 shirts is equal to the selling price of 8 shirts, then which is the following true for the transaction (a) Profit of 25%, (b) Loss of 25%, (c) Profit of 20%, (d) Loss of 20%

**Summary:**

If the cost price of 10 shirts is equal to the selling price of 8 shirts, then the transaction results in a profit of 25%

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