Question:medium

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

Updated On: Jan 15, 2026
  • 127
  • 135
  • 124
  • 144
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The Correct Option is A

Solution and Explanation

Define the following variables:

  • \(S\) represents the cost of the small box.
  • \(L\) represents the cost of the large box, with \(L = 2S\).
  • \(w_s\) is the weight of chocolate in the small box.
  • \(w_l\) is the weight of chocolate in the large box.

Step 1: Calculate Price per Gram of Chocolate

The price per gram of chocolate in the small box is calculated as: \[ \frac{S}{w_s} \] The price per gram of chocolate in the large box is 12% less than in the small box, which can be expressed as: \[ 0.88 \times \frac{S}{w_s} \]

Step 2: Formulate and Solve the Equation for the Large Box

Based on the large box pricing, we establish the equation: \[ \frac{L}{w_l} = 0.88 \times \frac{S}{w_s} \] Substitute \(L = 2S\) into the equation: \[ \frac{2S}{w_l} = 0.88 \times \frac{S}{w_s} \] Simplify the equation: \[ \frac{2}{w_l} = 0.88 \times \frac{1}{w_s} \] Solve for \(w_l\): \[ w_l = 2.27w_s \]

Step 3: Conclusion

This result indicates that the large box contains 2.27 times the weight of chocolate compared to the small box. The excess weight of chocolate in the large box over the small box is: \[ 2.27 - 1 = 1.27 \] This equates to 127%.

Final Answer:

The percentage increase in the weight of chocolate in the large box compared to the small box is approximately \( \boxed{127\%} \).

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The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
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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