Multiple choice

A shopkeeper marked the price of an article 25% above the cost price and allowed two successive discounts of 15% and 24% respectively to a particular customer. As a result, he incurred a loss of Rs. 462. At what price did he sell the item to customer? एक दुकानदार ने एक वस्तु की कीमत लागत मूल्य से 25% अधिक अंकित की और एक विशेष ग्राहक को क्रमशः 15% और 24% की दो क्रमिक छूट की अनुमति दी । नतीजतन, उसने रु. 462 का नुकसान उठाया। उसने ग्राहक को वस्तु किस मूल्य पर बेची?

  1. Rs. 2000

  2. Rs. 1928

  3. Rs. 1948

  4. Rs. 1958

  5. Rs. 1938
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let CP = x. MP = 1.25x. After 15% discount: 1.25x × 0.85 = 1.0625x. After 24% discount: 1.0625x × 0.76 = 0.8075x. Loss = x - 0.8075x = 0.1925x = 462. So x = 462 ÷ 0.1925 = 2400. SP = 0.8075 × 2400 = 1938.

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