Multiple choice

A shopkeeper normally allows a discount of 10% on the marked price of each article. During a sale season, he decides to give two more discounts, the first being at a rate of 50% of the original and the second at a rate of 40% of the first. What is the percentage rate of the equivalent single discount (correct up to two decimal places)? एक दुकानदार सामान्यतः प्रत्येक वस्तु के अंकित मूल्य पर 10% की छूट देता है। बिक्री के मौसम के दौरान, वह दो और छूट देने का फैसला करता है, पहला मूल के 50% की दर से और दूसरा पहले के 40% की दर से। समतुल्य एकल छूट की प्रतिशत दर क्या है (दो दशमलव स्थानों तक सही)?

  1. 11.25

  2. 16.21

  3. 14.85

  4. 13.27

  5. 16.5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The successive discounts are 10%, then 50% of 10% = 5%, then 40% of 5% = 2%. To find the equivalent single discount, calculate: 1 - (1-0.10)(1-0.05)(1-0.02) = 1 - (0.90)(0.95)(0.98) = 1 - 0.8379 = 0.1621 or 16.21%. This represents the total reduction from the original price.

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