Let's analyze the problem step-by-step.
Problem Restatement
- Two tailors, X and Y, are paid a total of Rs 0 per week (this seems like a placeholder; I'll assume the total is Rs T per week).
- X is paid 120% of the amount paid to Y.
- We need to find how much Y is paid per week.
Step 1: Define variables
Let:
- Y=Y=Y= amount paid to tailor Y per week.
- X=X=X= amount paid to tailor X per week.
- T=T=T= total amount paid to both per week.
Given:
- X=120%X=120%X=120% of YYY, or X=1.2YX=1.2YX=1.2Y.
- X+Y=TX+Y=TX+Y=T.
Step 2: Write the equation
X+Y=TX+Y=TX+Y=T
Substitute X=1.2YX=1.2YX=1.2Y:
1.2Y+Y=T1.2Y+Y=T1.2Y+Y=T
2.2Y=T2.2Y=T2.2Y=T
Step 3: Solve for Y
Y=T2.2Y=\frac{T}{2.2}Y=2.2T
Final answer:
- Tailor Y is paid T2.2\frac{T}{2.2}2.2T rupees per week.
- Tailor X is paid 1.2×T2.2=1.2T2.21.2\times \frac{T}{2.2}=\frac{1.2T}{2.2}1.2×2.2T=2.21.2T rupees per week.
Example:
If the total amount T=Rs220T=Rs220T=Rs220,
Y=2202.2=Rs100Y=\frac{220}{2.2}=Rs100Y=2.2220=Rs100
X=1.2×100=Rs120X=1.2\times 100=Rs120X=1.2×100=Rs120
If you provide the actual total amount, I can calculate the exact amount paid to Y.
