Multiple choice

The marked price of a mixie is Rs. 1600. The shopkeeper gives successive discount of 10% and x% to the customer. If the customer pays Rs. 1224 for the mixie, find the value of x एक मिक्सी का अंकित मूल्य रू. 1600 है। उस पर दुकानदार अपने खरीदार को 10% तथा x% की क्रमिक छूटें देता है। तदनुसार, यदि खरीदार ने उस मिक्सी के 1224 रू. दिए हों, तो x का मान ज्ञात कीजिए।

  1. 12 %

  2. 15 %

  3. 8 %

  4. 10 %

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B Correct answer
Explanation

After first discount of 10%: 1600 × 0.9 = 1440. After second discount of x%: 1440 × (1 - x/100) = 1224. Solving: 1 - x/100 = 1224/1440 = 0.85, so x/100 = 0.15, meaning x = 15%. For successive discounts, apply them sequentially - you can't just add the percentages.