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
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?
- 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:
- 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.
Important Questions from Work and Wages
A can complete a work alone in 8 days. B can complete the same work alone in 12 days. C alone complete the same work in 16 days. They complete the work in 3 days with the help of D. If they get Rs.12000 for the work, then how much money does the D get?
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
Twenty lamps can be lighted for 6 hr a day for 20 days at a cost of Rs. 100. How much would be the cost of lighting 40 lamps, 8 hr for 12 days?
Six men can complete a job in two days. Four boys can complete the same job in eight days. In how many days would three men and six boys, working together, be able to complete the job?
