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Amal buys 110kg of syrup and 120kg of juice, syrup being 20% less costly than juice, per kg. He sells 10kg of syrup at 10% profit and 20kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal's cost price for syrup, in rupees per kg, is

Updated On: Jan 15, 2026
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Solution and Explanation

The correct answer is ₹160:

Step 1: Given Information
Amal bought 110 kg of syrup and 120 kg of juice. The cost price of syrup was 20% less than the cost price of juice.

Step 2: Cost Price of Syrup and Juice
Let the cost price of 1 kg of juice be $10\,\text{CP}$. Consequently, the cost price of 1 kg of syrup is $8\,\text{CP}$ (20% less than juice).

Step 3: Selling of Syrup and Juice
Amal sold 10 kg of syrup at a 10% profit, resulting in a selling price of $1.1 \times 8\,\text{CP} = 8.8\,\text{CP}$. Amal sold 20 kg of juice at a 20% profit, with a selling price of $1.2 \times 10\,\text{CP} = 12\,\text{CP}$.

Step 4: Selling the Mixture
Amal combined the remaining syrup and juice and sold the mixture at ₹308.32 per kg. The total selling price of the mixture was $308.32 \times (110 + 120) = 308.32 \times 230 = 70,912$.

Step 5: Calculating Total Cost and Profit
The total cost price is the sum of the cost of syrup and juice: $110 \times 8\,\text{CP} + 120 \times 10\,\text{CP} = 880\,\text{CP} + 1200\,\text{CP} = 2080\,\text{CP}$. The overall profit was 64%, making the total selling price $1.64 \times 2080\,\text{CP} = 3411.2\,\text{CP}$. The amount already received from selling 10 kg of syrup and 20 kg of juice was $10 \times 8.8 + 20 \times 12 = 88 + 240 = 328$. Therefore, the mixture was sold for $3411.2 - 328 = 3083.2$. The amount of mixture was $230 - 10 - 20 = 200$ kg, resulting in a price per kg of $\frac{3083.2}{200} = 15.416$, which corresponds to ₹308.32 when scaling CP to Rupees.

Step 6: Finding the Cost Price of 1 CP
By equating ₹308.32 with $15.416\,\text{CP}$, we find that ₹1 = $\frac{308.32}{15.416} = 20$. Thus, 1 CP = ₹20.

Step 7: Cost Price of Syrup
The cost price of syrup per kg is $8 \times ₹20 = ₹160$.

Final Answer: ₹160 per kg

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
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