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.
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Important Questions from Work and Wages
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