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A tea merchant has 3 varieties of tea to sell. Brand A was sold at Rs. 252 per kg, Brand B was sold at Rs. 280 per kg, and Brand C was sold at Rs. 316 per kg. At the end of the year, he finds that he has left 274 kg of brand A tea, 197 kg of brand B and 54 kg of brand C tea. He mixes the three and sells the mixture at the rate of Rs. 283.50 per kg. What was his profit or loss on the sale? A. Rs. 7565.50 profit B. Rs. 7565.50 loss C. Rs. 8232.40 profit D. Rs. 8125.30 loss

A tea merchant has 3 varieties of tea to sell. Brand A was sold at Rs. 252 per kg, Brand B was sold at Rs. 280 per kg, and Brand C was sold at Rs. 316 per kg. At the end of the year, he finds that he has left 274 kg of brand A tea, 197 kg of brand B and 54 kg of brand C tea. He mixes the three and sells the mixture at the rate of Rs. 283.50 per kg. What was his profit or loss on the sale? A. Rs. 7565.50 profit B. Rs. 7565.50 loss C. Rs. 8232.40 profit D. Rs. 8125.30 loss Correct Answer A

Given:

Varieties

Quantity left

Selling Price/kg

Brand-A

274 kg

Rs. 252

Brand-B

197 kg

Rs. 280

Brand-C

54 kg

Rs. 316


New Selling Price of mixture = Rs. 283.50 per kg

Calculation:

Total selling price of Brand A = 274 × 252 = Rs. 69,048

Total selling price of Brand B = 197 × 280 = Rs. 55,160

and Total selling price of Brand C = 54 × 316 = Rs. 17,064

Sum of quantities = 274 + 197 + 54 = 525 kg

Total selling price of (A + B + C) = Rs. 69,048 + Rs. 55,160 + Rs. 17,064

⇒ Rs. 1,41,272

New selling price of (A + B + C) = Rs. 283.50 × 525 kg

⇒ Rs. 1,48,837.50

Now, Profit = Rs. 1,48,837.50 - Rs. 1,41,272

⇒ Rs. 7,565.50

∴ Rs. 7,565.50 is the profit of the tea merchant on the sale.

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