Multiple choice

A shopkeeper gives two successive discounts of 30% and 12.5% and finally sells an article for Rs. 245. Find the marked price of the article./एक दुकानदार ने एक वस्तु पर क्रमशः 30% तथा 12.5% की दो क्रमागत छूट दी तथा अन्त में वस्तु को 245 रूपये में बेचा। वस्तु का अंकित मूल्य ज्ञात कीजिए।

  1. Rs. 380

  2. Rs. 400

  3. Rs. 350

  4. Rs. 420
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After 30% discount, price becomes 70% of marked price. After additional 12.5% (which is 1/8), the remaining is 7/8 of 70% = 61.25%. So 61.25% of MP = 245, meaning MP = 245/0.6125 = 400. Working backwards: 245 ÷ 0.875 = 280, then 280 ÷ 0.7 = 400.

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