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