Discounted Price and Marked Price Calculation

XAT 2017 · Quantitative Ability & Data Interpretation · Easy · Quantitative Ability

A shop, which sold same marked price shirts, announced an offer - if one buys three shirts then the fourth shirt is sold at a discounted price of ₹ 100 only. Patel took the offer. He left the shop with 20 shirts after paying ₹ 20,000. What is the marked price of a shirt?

  1. A.

    ₹ 1260

  2. B.

    ₹ 1300

  3. C.

    ₹ 1350

  4. D.

    ₹ 1400

  5. E.

    ₹ 1500

Answer

B

Explanation

Patel gets 20 shirts. For every 4 shirts, 3 are paid at marked price xx and 1 is paid at ₹ 100. So out of 20 shirts, there are 5 groups of 4 shirts. Number of shirts at marked price =5×3=15= 5 \times 3 = 15. Number of shirts at ₹ 100 =5×1=5= 5 \times 1 = 5.

Total amount =15x+5(100)=20000= 15x + 5(100) = 20000 15x+500=20000  ⟹  15x=19500  ⟹  x=130015x + 500 = 20000 \implies 15x = 19500 \implies x = 1300.

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