Question Details

A spice merchant bought 18 kg of Turmeric at ₹320/kg and 28 kg of Coriander at ₹260/kg. He mixed them. Due to market conditions, he had to sell the mixture at ₹290/kg. Calculate the loss or gain.

Options

A

Loss of ₹240

B

Profit of ₹240

C

Loss of ₹480

D

Profit of ₹300

Show Answer

Correct Answer :

Option D

Profit of ₹300

Solution :

The correct option is Profit of ₹300.


Step 1: Calculate the total cost price (CP) of the mixture

The merchant bought 18 kg of Turmeric at ₹320 per kg.

Cost price of Turmeric = 18 × 320 = ₹5,760


The merchant bought 28 kg of Coriander at ₹260 per kg.

Cost price of Coriander = 28 × 260 = ₹7,280


Total cost price of the mixture (CP) = ₹5,760 + ₹7,280 = ₹13,040


Step 2: Calculate the total selling price (SP) of the mixture

Total weight of the mixture = 18 kg + 28 kg = 46 kg

The mixture was sold at ₹290 per kg.

Total selling price of the mixture (SP) = 46 × 290 = ₹13,340


Step 3: Determine the profit or loss

Since the total selling price (₹13,340) is greater than the total cost price (₹13,040), the merchant made a profit.

Profit = SP - CP

Profit = ₹13,340 - ₹13,040 = ₹300


Thus, the merchant earned a Profit of ₹300.

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