A dishonest seller uses a weight of 800 gram in place of 1 kg and adds 20%…
2026
A dishonest seller uses a weight of 800 gram in place of 1 kg and adds 20% impurities in grain. What should be his profit percentage if he claims to be selling at the cost price?
- A.
45%
- B.
50%
- C.
36.66%
- D.
44.33%
Attempted by 440 students.
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Correct answer: B
Answer: 50%
Let the cost price (CP) of 1 kg (1000 g) of pure grain be Rs. 100 (for convenience).
The seller uses an 800 g weight instead of 1000 g. He also supplies grain containing 20% impurities. Interpreting 20% impurities as meaning the mixture has 100 parts pure and 20 parts impurity, the pure fraction is 100/120.
Pure grain given = 800 × (100/120) = 2000/3 g (≈ 666.67 g).
Cost to seller for that amount = (2000/3) / 1000 × Rs.100 = 200/3 Rs (≈ Rs.66.67).
Selling price (what buyer pays) = Rs.100.
Profit = 100 − 200/3 = 100/3 Rs.
Profit percentage = (Profit / Cost) × 100 = (100/3) / (200/3) × 100 = (100/200) × 100 = 50%.