Question:medium

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

Updated On: Jan 15, 2026
  • 7 : 3
  • 11 : 3
  • 11 : 7
  • 3 : 2
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The Correct Option is B

Solution and Explanation

Let the daily earnings of Neeta, Geeta, and Sita be represented by the variables \( N \), \( G \), and \( S \) respectively.

Given:

  1. \( N + G = 6S \)
  2. \( S + N = 2G \)

Step 1: Isolate \( N \) from the first equation

From the equation \( N + G = 6S \), we can express \( N \) in terms of \( S \) and \( G \): \[ N = 6S - G \quad \text{......(i)} \]

Step 2: Substitute \( N \) into the second equation

Substitute the expression for \( N \) from equation (i) into the second equation \( S + N = 2G \): \[ S + (6S - G) = 2G \] Combine like terms: \[ 7S - G = 2G \] \[ 7S = 3G \] Rearrange to express \( G \) in terms of \( S \): \[ G = \frac{7}{3} S \quad \text{......(ii)} \]

Step 3: Substitute \( G \) into equation (i)

Substitute the expression for \( G \) from equation (ii) into equation (i): \[ N = 6S - \frac{7}{3} S \] To subtract these terms, find a common denominator: \[ N = \frac{18}{3} S - \frac{7}{3} S \] \[ N = \frac{11}{3} S \quad \text{......(iii)} \]

Step 4: Determine the earnings ratio

The ratio of the daily earnings \( N : G : S \) is: \[ \frac{11}{3} S : \frac{7}{3} S : S \] To simplify, multiply each part of the ratio by 3: \[ 11S : 7S : 3S \] This simplifies to: \[ 11 : 7 : 3 \]

Step 5: Identify the highest and lowest earners and their ratio

Comparing the ratios, Neeta (\( N \)) earns the most, and Sita (\( S \)) earns the least. The ratio of the earnings of the highest earner to the lowest earner is: \[ N : S = 11S : 3S \] This simplifies to: \[ 11 : 3 \]

Final Answer:

The correct option is \( \boxed{(B): 11 : 3} \).

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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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