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A question regarding a value is presented. Based on the associated option data, the primary numerical value given in the question stem is:
Rs.┬а300
Rs.┬а250
Rs.┬а350
Rs.┬а200
Rs.┬а250
Express the percentage as a ratio: X:Y = 120:100 = 6:5. Y's share is 6+55тАЛ├Ч660=115тАЛ├Ч660=300.
Total amount paid to X and Y per day = тВ╣660, X is paid 120% of the sum paid to Y
X+Y=660,X=1.20Y
Express the percentage as a ratio: X:Y = 120:100 = 6:5. Y's share is 6+55тАЛ├Ч660=115тАЛ├Ч660=300.
Confusing which person gets 120% or incorrectly setting up the ratio as 12:1 instead of 6:5.
Define Equations
Let the daily pay of Y be Y and X be X. According to the problem, the sum of their daily pay is тВ╣660 and X is paid 120% of Y.
X+Y=660,X=100120тАЛY=1.2Y
Substitute X in terms of Y
Substitute X=1.2Y into the total pay equation:
1.2Y+Y=660
Solve for Y
Combine like terms and solve for Y:
2.2Y=660тЯ╣Y=2.2660тАЛ=300
B is correct because Y is paid тВ╣300 per day.
Problems involving proportions and percentage distribution can also be efficiently solved using fractional ratio allocation.
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