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The stationary shop owner sells geometry tool set at Rs. 75 after providing 40% discount on MRP and gains 25% profit. If he sells the set on MRP, how much % more profit he can earn?

The stationary shop owner sells geometry tool set at Rs. 75 after providing 40% discount on MRP and gains 25% profit. If he sells the set on MRP, how much % more profit he can earn? Correct Answer 83%

Discount is always offer on selling price,

Discounted price = Selling price or MRP - discount offer

Here, Discounted price = Rs. 75

Discount offer = 40% of MRP

⇒ 75 = MRP - 40% of MRP

⇒ 75 = 60% of MRP

⇒ MRP = 75/0.60 = Rs. 125

Profit is always offer on cost price,

Profit earn = Selling price - cost price,

Here, Profit earn = 25% of cost price,

⇒ 25% of cost price = 75 - cost price

⇒ 125% of cost price = 75

⇒ cost price = 75/1.25 = Rs. 60

Amount of profit earn by selling at MRP,

⇒ Profit earn = MRP - cost price;

⇒ Profit earn = 125 - 60 = Rs. 65

⇒ % of profit = 6500/60 = 108.33%

∴ Difference in % = 108.33 - 25% = 83.33% ≈ 83%

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