Suman purchased 25 liters of milk at ₹45 per liter and another 15 liters of milk at ₹50 per liter. She combined both quantities and then sold the entire mixture at ₹48 per liter. What was her total profit or loss?

Suman purchased 25 liters of milk at ₹45 per liter and another 15 liters of milk at ₹50 per liter. She combined both quantities and then sold the entire mixture at ₹48 per liter. What was her total profit or loss?

सुमन ने 25 लीटर दूध ₹45 प्रति लीटर की दर से तथा 15 लीटर दूध ₹50 प्रति लीटर की दर से खरीदा। उसने दोनों मात्राओं को मिलाकर पूरा मिश्रण ₹48 प्रति लीटर की दर से बेच दिया। उसका कुल लाभ या हानि कितना हुआ?

Options / विकल्प

A. Loss of ₹45 / ₹45 की हानि

B. Profit of ₹45 / ₹45 का लाभ

C. Profit of ₹90 / ₹90 का लाभ

D. Loss of ₹90 / ₹90 की हानि


Answer / उत्तर

Profit of ₹45 / ₹45 का लाभ


Solution / समाधान

Method 1: Using Total Cost and Total Selling Price

विधि 1: कुल क्रय मूल्य और कुल विक्रय मूल्य

Total Cost Price / कुल क्रय मूल्य

25×45+15×5025 \times 45 + 15 \times 50
=1125+750= 1125 + 750
=1875= ₹1875

Total Quantity / कुल मात्रा

25+15=40 liters25 + 15 = 40 \text{ liters}

Total Selling Price / कुल विक्रय मूल्य

40×48=192040 \times 48 = ₹1920

Profit / लाभ

19201875=451920 - 1875 = ₹45

Shortcut Trick / शॉर्टकट ट्रिक

Profit on first quantity:

25×(4845)25 \times (48-45)
=25×3=75= 25 \times 3 = ₹75

Loss on second quantity:

15×(4850)15 \times (48-50)
=15×(2)=30= 15 \times (-2) = -₹30

Net Result:

7530=4575 - 30 = ₹45

Since the result is positive, it is a profit.

चूँकि परिणाम धनात्मक है, इसलिए यह लाभ है।


Final Answer / अंतिम उत्तर

Profit of ₹45\boxed{\text{Profit of ₹45}}

Correct Answer / सही उत्तर: ₹45 का लाभ

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