# The marked price of pair of shoes by adidas is 25% more than that of XYZ brand. If adidas shoes are sold at 25% discount and XYZ at 30% discount then

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The marked price of pair of shoes by adidas is 25% more than that of XYZ brand. If adidas shoes are sold at 25% discount and XYZ at 30% discount then the difference between selling prices was observed to be Rs 285. Find the marked price of adidas shoes.

1. Rs 1050
2. Rs 1250
3. Rs 1500
4. Rs 1650
5. Rs 1750

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Correct Answer - Option 3 : Rs 1500

Given:

Adidas = 25% + XYZ

Adidas discount = 25%

XYZ discount = 30%

Difference between adidas and XYZ selling price = Rs 285

Adidas marked up = 10%

Formula used:

Marked price – (discount × marked price/ 100) = Selling price

Calculation:

Let marked up price of XYZ shoes be X

⇒ Marked up price of adidias shoes = X × (1 + 0.25)

⇒ Marked up price of XYZ shoes = 1.25 × X

⇒ Selling price of adidas shoes = 1.25X × (1 – 0.25)

⇒ Selling price of adidas shoes = (5/ 4)X × (3/ 4)

⇒ Selling price of adidas shoes = 15 × X/ 16

⇒ Selling price of XYZ shoes = (7 × X/ 10)

⇒ Selling price of XYZ shoes = 7X/ 10

⇒ (15X/ 16) – (7X/ 10) = 285

⇒ (75X – 56X)/ 80 = 285

⇒ 19X/ 80 = 285

⇒ X = 285 × 80/ 19

⇒ X = 1200

⇒ Marked price of adidas shoes = (125/100) × 1200 = 1500

∴ Marked up price of adidas = 1500