Question
Download Solution PDFA 20% reduction in the price of an apple enables a man to buy 10 apples more for ₹54. Then what is the reduced price of apples per dozen ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A 20% reduction in the price of an apple enables a man to buy 10 apples more for ₹54.
Formula used:
Let the original price of an apple be ₹x.
After a 20% reduction, the new price = x - 0.2x = 0.8x
Let the original number of apples be n.
Given: 54 = n × x and 54 = (n+10) × 0.8x
Calculations:
54 = n × x
⇒ n = 54/x
54 = (54/x + 10) × 0.8x
⇒ 54 = 43.2 + 8x
⇒ 54 - 43.2 = 8x
⇒ 10.8 = 8x
⇒ x = 1.35
Reduced price per apple = 0.8 × 1.35 = 1.08
Reduced price per dozen = 1.08 × 12 = 12.96
∴ The correct answer is option 2.
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