Multiple choice

The marked price of a T-shirt is Rs. 1490. On the occasion of Navratri, the shopkeeper offered two successive discounts of 11.25% and p% respectively. If an individual purchased the T shirt for Rs. 1193.44, then find the value of value of ‘p’?

  1. 8.25%

  2. 9.75%

  3. 10.25%

  4. 9.25%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After first discount of 11.25%: 1490 × 0.8875 = 1322.375. Let p be second discount. Then 1322.375 × (1 - p/100) = 1193.44. Solving: 1 - p/100 = 1193.44/1322.375 = 0.9025, so p = 100 × 0.0975 = 9.75%. The successive discounts reduce the price correctly to Rs. 1193.44.

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