A grocer bought 27 kg of coffee beans at price X per kg . After a while one…
2026
A grocer bought 27 kg of coffee beans at price X per kg . After a while one third of the stock got spoiled , so he sold the rest for Rs. 180 per kg and made a total profit of twice the cost . What must be the price in Rs ?
- A.
54
- B.
40
- C.
56
- D.
47
Attempted by 13 students.
Show answer & explanation
Correct answer: B
Concept: For a "profit equals twice the cost" scenario, Profit = 2 × Cost Price, so Selling Price = Cost Price + Profit = Cost Price + 2 × Cost Price = 3 × Cost Price. The total sale proceeds must therefore equal exactly three times the total cost incurred, regardless of how the goods were eventually sold.
Let the cost price be Rs. X per kg. Total quantity purchased = 27 kg, so total cost = 27X.
One-third of the 27 kg spoiled, i.e., 9 kg was spoiled; the remaining 18 kg (27 − 9) was sold.
The 18 kg was sold at Rs. 180 per kg, so total sale proceeds = 18 × 180 = Rs. 3240.
Profit = total sale proceeds − total cost = 3240 − 27X.
Given that profit equals twice the total cost: 3240 − 27X = 2 × 27X = 54X.
Solving: 3240 = 54X + 27X = 81X, so X = 3240 / 81 = 40.
Cross-check: With X = Rs. 40, total cost = 27 × 40 = Rs. 1080; total sale proceeds = Rs. 3240; profit = 3240 − 1080 = Rs. 2160, which is exactly twice Rs. 1080 — confirming the value.