A candy shop owner buys three kinds of candies: red, blue, and green. Red candies are purchased at 3 for ₹15, blue candies at 4 f…

Question

A candy shop owner buys three kinds of candies: red, blue, and green. Red candies are purchased at 3 for ₹15, blue candies at 4 for ₹18, and green candies at 5 for ₹22. He mixes them in the ratio 1:1:2. He sells all the mixed candies at 2 for ₹10. What is his approximate gain or loss percentage?

1. A. Loss of 9.2%
2. B. Profit of 9.29% (Correct answer)
3. C. Profit of 10%
4. D. Loss of 10%

Correct Answer

Option B — Profit of 9.29%

Detailed Solution & Explanation

The correct answer is Profit of 9.29%.

Key Points

• Find the unit cost of each colour: red $15 \div 3 = ₹5$, blue $18 \div 4 = ₹4.50$, green $22 \div 5 = ₹4.40$.
• Mixing 1 : 1 : 2 means taking 4 candies: cost $= 5 + 4.50 + 2(4.40) = ₹18.30$.
• Selling at 2 for ₹10 is ₹5 each, so those 4 candies fetch ₹20.
• Profit $= 1.70$ on a cost of 18.30, i.e. $\tfrac{1.70}{18.30} \times 100 \approx$ 9.29%.

Additional Information

• Work with the smallest batch matching the mixing ratio — 4 candies here — rather than scaling to arbitrary numbers.
• Profit percentage is always taken on cost price, never on selling price; using 20 as the base would give 8.5% and the wrong option.
• The ratio 1 : 1 : 2 means green carries half the weight of the mixture, which is what pulls the average cost down towards ₹4.40.

प्रश्न (हिन्दी में)

एक कैंडी शॉप का मालिक तीन तरह की कैंडी खरीदता है: लाल, नीली और हरी। लाल कैंडी 3 कैंडी ₹15 में, नीली कैंडी 4 कैंडी ₹18 में और हरी कैंडी 5 कैंडी ₹22 में खरीदी जाती है। वह उन्हें 1 : 1 : 2 के अनुपात में मिलाता है। वह सभी मिश्रित कैंडी 2 कैंडी ₹10 में बेचता है। उसका अनुमानित लाभ या हानि प्रतिशत क्या है?

1. A. 9.2% की हानि
2. B. 9.29% का लाभ
3. C. 10% का लाभ
4. D. 10% की हानि