Multiple choice

With a 5% discount on the cost of sugar, a buyer could purchase 2 kg more sugar for Rs. 608. What is the selling price of sugar? चीनी के मूल्य पर 5% छूट देने पर एक खरीददार 608 रू. में 2 किग्रा चीनी अधिक खरीद सकता है। चीनी का विक्रय मूल्य क्या है?

  1. Rs. 15.50

  2. Rs. 15

  3. Rs. 16.50

  4. Rs. 16

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the original price per kg be P. With 5% discount, the discounted price is 0.95P. For Rs. 608, original quantity = 608/P kg, discounted quantity = 608/(0.95P) kg. The difference is 2 kg more with discount, so: 608/(0.95P) - 608/P = 2. Solving: 608/P × (1/0.95 - 1) = 2, which gives 608/P × 0.05/0.95 = 2, so P = 608 × 0.05 / (2 × 0.95) = 16. The original (selling) price is Rs. 16/kg.