A fruit vendor bought bananas at the rate of 10 bananas for ₹8 and sold them…
2017
A fruit vendor bought bananas at the rate of 10 bananas for ₹8 and sold them at the rate of 8 bananas for ₹10. His profit percent was:
- A.
20.75%
- B.
28.25%
- C.
38.75%
- D.
56.25%
Attempted by 49 students.
Show answer & explanation
Correct answer: D
Answer: 56.25%
Cost per banana = ₹8 ÷ 10 = ₹0.80
Selling price per banana = ₹10 ÷ 8 = ₹1.25
Profit per banana = ₹1.25 − ₹0.80 = ₹0.45
Profit percent = (0.45 ÷ 0.80) × 100 = 56.25%
Alternate method (use 40 bananas to avoid fractions):
Cost for 40 bananas = (40 ÷ 10) × ₹8 = 4 × ₹8 = ₹32
Selling price for 40 bananas = (40 ÷ 8) × ₹10 = 5 × ₹10 = ₹50
Profit = ₹50 − ₹32 = ₹18 → Profit percent = (18 ÷ 32) × 100 = 56.25%