UPSC Prelims 2019·CSAT·Quantitative Aptitude·Arithmetic

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

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Last updated 23 May 2026, 3:31 pm IST
  1. A15%
  2. B20%Correct
  3. C25%
  4. D30%

Explanation

Let the original price of one mobile handset be P. Rakesh had enough money to buy 8 handsets, so the total amount of money he had was 8P. After the discount, Rakesh could buy 10 handsets with the same amount of money. Let the new discounted price of one handset be P_new. So, 10 * P_new = 8P. From this, we can find the new price in terms of the original price: P_new = 8P / 10 = 0.8P. The discount offered on each handset is the difference between the original price and the new price: Discount = P - P_new = P - 0.8P = 0.2P. To find the percentage discount, we calculate (Discount / Original Price) * 100: Percentage discount = (0.2P / P) * 100 = 0.2 * 100 = 20%. Therefore, the retailer offered a 20% discount. The final answer is B) 20%.
Quantitative Aptitude: Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that par

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