CAT 2021 Set-3 | Quantitative Aptitude | Question: 2

Question

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

Answer 1

Let’s draw the table for better understanding.

$\begin{array} {llll} & \textbf{Anil} & \textbf{Barun} & \textbf{Anil + Barun + Chandu} \\ \text{Time:} & 12\;\text{days} &  16\;\text{days} & 6\;\text{days} \\ \text{Total work:} & \text{LCM(12, 16, 6)} &\qquad = & 48\;\text{units} \\ \text{Efficiency:} & 4\;\text{units/day} & 3\;\text{units/day} & 8\;\text{units/day}    \end{array}$

The efficiency of Chandu $= 8-7 = 1\;\text{unit/day}$

Now,

• $8\;\text{unit/day} \longrightarrow ₹ \; 24000$
• $1\;\text{unit/day} \longrightarrow ₹ \frac{24000}{8} = ₹ \;3000$

$\therefore$ The amount received by Chandu is $₹ \; 3000.$

Correct Answer $:3000$