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GATE 2021 BT – Question 7

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The costs of P and Q have ratio 3:4. P costs ₹5400 and has marked price ₹5860. Q has profit 25% and marked price ₹10000. Discount is marked minus selling price; profit percentage is (selling−cost)/cost ×100. The discount on Q as a percentage of marked price is

  1. 25
  2. 12.5
  3. 10
  4. 5

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Correct answer: (C) 10

Explanation

**Step 1: cost of Q.** The costs of P and Q are in the ratio $3:4$ and P costs ₹5400:
$$\text{Cost of Q}=5400\times\frac43=₹7200 .$$

**Step 2: selling price of Q.** Q is sold at a profit of 25% on cost:
$$SP_Q=7200\times1.25=₹9000 .$$

**Step 3: discount.** The marked price of Q is ₹10 000, so the discount is $10\,000-9000=₹1000$.

**Step 4: percentage of marked price.**
$$\frac{1000}{10\,000}\times100=\mathbf{10\%}.$$

(The marked price and cost of P are not needed.)