Question 52

The marked price of an item is 25% more than its selling price. The selling price of the same item is 20% more than its cost price. The marked price of that item is what percentage more than its cost price?

Let's assume the cost price of an item is 100y.

The selling price of the same item is 20% more than its cost price.

selling price of the same item = 100y of (100+20)%

= 100y of 120%

= 120y

The marked price of an item is 25% more than its selling price.

marked price of the same item = 120y of (100+25)%
= 120y of 125%

= $$120y\times\frac{125}{100}$$
= $$30y\times5$$

= 150y

percentage more (marked price with respect to the cost price) = $$\frac{150y-100y}{100y}\times\ 100$$

= $$\frac{50y}{100y}\times\ 100$$

= 50%

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