Multiple choice

A shopkeeper marks the garments at such a price that even after allowing a discount of 12.5\%, he makes a profit of 10\%. Find the marked price of a suit which costs him Rs. 1470.

  1. Rs.1848

  2. Rs.1860

  3. Rs.1800

  4. Rs.1850

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The shopkeeper wants a 10% profit after giving 12.5% discount. Cost = Rs. 1470. Selling price for 10% profit = 1470 × 1.10 = 1617. This selling price is after 12.5% discount on marked price, so 1617 = MP × (1 - 0.125) = MP × 0.875. Therefore, Marked Price = 1617/0.875 = 1848. Alternatively: MP = 1470 × 1.10/0.875 = 1848.