Rajan purchased a purse at 25% discount on its MP but sold it at the MP. Find the gain per cent of Rajan on its transaction
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Let Market price be x
Rajan bought at a discount of 25% = at 75% of x
= 75/100 × x
= 3/4x
Selling price = Market price = x
Profit = Selling price - Cost Price
= x - 3/4x
= 1/4x
Profit % = Profit/Cost Price × 100
=1/4x ÷ 3/4x × 100
=1/4x × 4/3x × 100
=1/3 × 100
=33.33%
Rajan bought at a discount of 25% = at 75% of x
= 75/100 × x
= 3/4x
Selling price = Market price = x
Profit = Selling price - Cost Price
= x - 3/4x
= 1/4x
Profit % = Profit/Cost Price × 100
=1/4x ÷ 3/4x × 100
=1/4x × 4/3x × 100
=1/3 × 100
=33.33%
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