Question:medium

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

Updated On: Jan 15, 2026
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Correct Answer: 3000

Solution and Explanation

Step 1: Work Rates

Anil completes $ \frac{1}{12} $ of the house daily. Barun completes $ \frac{1}{16} $ of the house daily. Together, Anil, Barun, and Chandu complete the house in 6 days, achieving a combined rate of $ \frac{1}{6} $ per day.

Step 2: Set up the equation

Let Chandu’s daily work rate be $ x $. The equation representing their combined effort is:
$ \frac{1}{12} + \frac{1}{16} + x = \frac{1}{6} $

Step 3: Solve for Chandu's rate

The least common multiple of 12 and 16 is 48. Converting the fractions to a common denominator:
$ \frac{1}{12} = \frac{4}{48}, \quad \frac{1}{16} = \frac{3}{48}, \quad \frac{1}{6} = \frac{8}{48} $

Substituting these values into the equation:
$ \frac{4}{48} + \frac{3}{48} + x = \frac{8}{48} $
$ \frac{7}{48} + x = \frac{8}{48} $
Solving for $ x $: $ x = \frac{8}{48} - \frac{7}{48} = \frac{1}{48} $

Step 4: Chandu’s contribution in 6 days

Chandu’s work over 6 days is calculated as:
$ 6 \times \frac{1}{48} = \frac{6}{48} $, which simplifies to $ \frac{1}{8} $ of the house.

Step 5: Chandu’s payment share

The total payment is ₹24000. Chandu's share is determined by his contribution:
Chandu's share = $ \frac{1}{8} \times 24000 = ₹3000 $

Final Answer: Chandu will receive ₹3000.

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Questions Asked in CAT exam

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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