Question
Download Solution PDFA tea merchant blends two varieties of tea in the ratio of 5 : 4.The cost of first variety is Rs. 200 per kg and that of second variety is Rs. 300 per kg. She sells the blended tea at the rate of Rs. 250 per kg. Find out the percentage of her profit or loss.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of first variety (C1) = ₹200 per kg
Cost of second variety (C2) = ₹300 per kg
Blending ratio = 5 : 4
Selling Price (SP) = ₹250 per kg
Formula used:
Cost Price (CP) of blended tea = \(\frac{C_1 \times W_1 + C_2 \times W_2}{W_1 + W_2}\)
Profit/Loss % = \(\frac{SP - CP}{CP} \times 100\)
Calculation:
CP = (200 × 5 + 300 × 4) / (5 + 4)
CP = (1000 + 1200) / 9 = 2200 / 9 ≈ ₹244.44 per kg
Profit % = ((250 − 244.44) / 244.44) × 100
= (5.56 / 244.44) × 100 ≈ 2.27% (Profit)
∴ The correct answer is option (2): Profit of 2.27%
Last updated on Feb 11, 2025
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