Question

x can do a piece of work in 18 days and y can do it 24 days. How much y get if they finish the work and earn Rs. 42,000.
A) Rs. 24,000
B) Rs. 18,000
C) Rs. 20,000
D) Rs. 22,000

Answer 1

Gɪᴠᴇɴ :-

• x can do a piece of work in 18 days.
• y can do it 24 days.

Tᴏ Fɪɴᴅ :-

• How much y get if they finish the work and earn Rs. 42,000. ?

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

☛ The wages paid for any task has to be divided among the workers in the proportion to their contribution towards the completion of the task.

☛ In other words, the money earned by completing a piece of work has to be divided in the proportion of the work done by them.

☛ If the workers have worked for the same number of days, the money can be divided in the ratio of their efficiencies.

☛ Efficiency is inversely proportional to the time taken to complete a task.

Sᴏʟᴜᴛɪᴏɴ :-

→ Time Ratio :- x : y = 18 : 24 = 3 : 4

So,

→ Efficiency Ratio = x : y = 4 : 3.

Now, Given That, Both Earn Rs.42,000 Total.

Therefore ,

→ y gets = (3/7) of 42000

→ y gets = (3/7) * 42000

→ y gets = Rs.18000 (Ans.)

Hence, y gets Rs.18,000 Total after Finishing The work.

Answer 2

Answer:Rs.18000

Step-by-step explanation:

X's 1 day's work = $\frac{1}{18}$

Y's 1 day's work = $\frac{1}{24}$

Ratio of wages of X and Y = $\frac{1}{18}$ : $\frac{1}{24}$

                                              =4:3

Y's share = Rs.(42000 × 3/7 )= Rs.18000