Question
Download Solution PDFWith a 5% discount on the cost of sugar, a buyer could purchase 2 kg more sugar for Rs. 608. What is the original selling price of sugar? (in Rs/kg)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Discount = 5%
Extra sugar bought = 2 kg
Total money spent = ₹608
Formula used:
Let the original price of sugar be ₹x per kg.
With a 5% discount, the price per kg becomes 95% of ₹x, which is (95/100) × x.
Total sugar bought with discount = 608 ÷ (95/100) × x kg
Total sugar bought without discount = 608 ÷ x kg
Difference in quantity of sugar = 2 kg
Calculation:
608 ÷ (95/100) × x - 608 ÷ x = 2
⇒ (608 × 100)/(95x) - 608/x = 2
⇒ (60800 - 608 × 95)/(95x) = 2
⇒ (60800 - 57760)/(95x) = 2
⇒ 3040/(95x) = 2
⇒ 3040 = 190x
⇒ x = 3040 ÷ 190
⇒ x = 16 Rs/kg
∴ The original selling price of sugar is ₹16 per kg.
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