Calculating Y's Daily Earning from Combined Earnings
This problem requires calculating the individual daily earning of Y, given information about the combined earnings and working days of X, Y, and Z.
Problem Analysis
- We are given combined earnings for three pairs/groups: (X+Y+Z), (X+Y), and (Y+Z) over specific periods.
- We need to find the daily earning rate for Y.
Calculations
First, calculate the total daily earning rate for each given group.
Step 1: Calculate Combined Daily Earnings
- Daily Earning (X + Y + Z): ₹2,400 / 15 days = ₹160 per day.
- Daily Earning (X + Y): ₹1,840 / 16 days = ₹115 per day.
- Daily Earning (Y + Z): ₹1,530 / 18 days = ₹85 per day.
Step 2: Determine Individual Daily Earnings
Using the combined daily rates, we can find the daily rate for each person.
- Find Z's Daily Earning:
Daily Earning (Z) = Daily Earning (X + Y + Z) - Daily Earning (X + Y)
Daily Earning (Z) = ₹160 - ₹115 = ₹45 per day. - Find X's Daily Earning:
Daily Earning (X) = Daily Earning (X + Y + Z) - Daily Earning (Y + Z)
Daily Earning (X) = ₹160 - ₹85 = ₹75 per day. - Find Y's Daily Earning:
We can use either (X+Y) or (Y+Z) combined rates.
Using (X+Y): Daily Earning (Y) = Daily Earning (X + Y) - Daily Earning (X)
Daily Earning (Y) = ₹115 - ₹75 = ₹40 per day.
Alternatively, using (Y+Z): Daily Earning (Y) = Daily Earning (Y + Z) - Daily Earning (Z)
Daily Earning (Y) = ₹85 - ₹45 = ₹40 per day.
Conclusion
The daily earning of Y is ₹40.
Similar Questions
- A alone can finish a job in 12 days, while B alone can finish it in 15 days. With the help of C, they can finish the same job in 5 days. If they are paid ₹2,880 for the whole job, what will be the share of C?
- 2 men and 3 women can earn ₹49 in 7 days. 3 men and 6 women can earn ₹96 in 8 days. In what time 1 man and 1 woman earn ₹27?
- Ram and Shyam can complete a work in 12 and 18 days respectively. They worked together and received ₹15,000 for doing the work. How much money did they receive individually?
- A alone can finish a task in 20 days, while B alone can finish it in 15 days. They together work for 5 days and stop, then the rest of the work is finished by C alone in 2 days. If they get paid ₹2,400 for finishing the whole task, then find the difference between the daily wages of C and A.
- 12 skilled, 14 semi-killed and 10 unskilled workers complete a job for ₹13189. If their individual wages be in the ratio of 9:5:4, then the total money (in ₹) earned by 10 unskilled workers is:
If the wages for 9 workers for 8 days are ₹2,880, what will be the wages for 15 workers for 9 days at the same rate?
Important Questions from Work and Wages
A and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:
Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs.4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in Rs.) was paid to Ashok?
5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹ 52,080 in 14 days. How much will 12 women and 7 girls together earn (in ₹) in 13 days?
X, Y and Z completed a work costing Rs. 3,400, X worked for 5 days, Y for 7 days and Z for 10 days. If their daily wages are in the ratio of 4 ∶ 5 ∶ 3, how much amount will be received by X?
A,B and C can do a work in 10 days, 15 days, and 20 days, respectively. They finished that work together and got Rs. 2,600 as wages. Find C's wage.
