Question

When fresh fish is dried, it becomes $\frac{1}{3}$ its weight. Last year, Jhansi bought fresh fish for ₹15 per kg and sells dried fish for ₹70 per kg. She found that for 6000 kg of fresh fish needed 1500 kg of salt. The cost of salt is ₹2 per kg. They have an additional expense of ₹3000 for packing and transportation. What was the profit she made from this business last year?
(4 marks)

Answer 1

Solution:
Cost of 6000 kg of fresh fish = ₹15 × 6000 =₹90,000
(0.5 marks)
Monthly cost of salt = ₹1500 × 2 = ₹3000
Total expense = Cost of fresh fish + Cost of packaging and transportation + Cost of salt
= ₹90000 + ₹3000 + ₹3000
= ₹96,000 (1 mark)
Now, weight of dried fish is one-third of the weight of fresh fish.

Weight of dried fish = 6000 kg ÷ 3 = 2000 kg
(0.5 marks)
Selling price of dried fish = ₹70
Money earned by selling 2000 kg of fish = ₹70 × 2000 =₹1,40,000 (0.5 marks)

Profit = total earnings - total expenses (0.5 marks)

Profit by selling dried fish = Money earned by selling the fish - Total expense
= ₹1,40,000 − ₹96,000
= ₹44,000 (1 mark)