Multiple choice

The selling price of an article marked for Rs. 10000 after giving three discounts, 20%, 10% and k% is Rs. 6120. What will be selling price (in Rs.) of the same article if a single discount of (k + 20)% is allowed?

  1. 6500

  2. 8000

  3. 8500

  4. 6800
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

After 20% discount: 10000 × 0.8 = 8000. After 10% discount: 8000 × 0.9 = 7200. After k% discount to reach 6120: 6120 = 7200(1 - k/100), giving k = 15%. Single discount of (15 + 20)% = 35% on Rs. 10000: 10000 × 0.65 = Rs. 6500. The key is to find k first, then apply the combined discount.

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