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
Show Solution

Solution and Explanation

Let the total work be $W$ units. Each person worked for 6 days.

Anil's work: Anil completes the work in 12 days. In 1 day, he completes $\frac{1}{12}$ of the work. In 6 days, he completes: \[ 6 \times \frac{1}{12} = \frac{1}{2} \] Thus, Anil's contribution is $\frac{W}{2}$.

Barun's work: Barun completes the work in 16 days. In 1 day, he completes $\frac{1}{16}$ of the work. In 6 days, he completes: \[ 6 \times \frac{1}{16} = \frac{3}{8} \] Thus, Barun's contribution is $\frac{3W}{8}$.

Total work done: Anil, Barun, and Charu together completed the entire work $W$ in 6 days. Let Charu’s contribution be $x$. The total work done is the sum of their individual contributions: \[ \frac{W}{2} + \frac{3W}{8} + x = W \] Combining terms: \[ \frac{4W + 3W}{8} + x = W \Rightarrow \frac{7W}{8} + x = W \] Solving for $x$: \[ x = W - \frac{7W}{8} = \frac{W}{8} \] Charu's contribution is $\frac{W}{8}$.

Charu's share in money: The total payment is ₹24,000. Charu's share is calculated based on her contribution: \[ \frac{1}{8} \times 24000 = ₹3,000 \] Answer: ₹3,000

Was this answer helpful?
0

Top Questions on Ratio and Proportion

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.
View Solution