Two garment makers X and Y earn a combined weekly compensation of Rs. 550 from their employer. If X receives 120 percent of the amount given to Y, what is Y's weekly earnings?
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Answer: B. Rs. 250
Explanation
Expressing X's earnings as 1.2 times Y's earnings sets up a direct linear relationship between their weekly wages. Substituting this expression into the combined salary equation of 550 gives 2.2 times Y equal to 550. Dividing 550 by 2.2 yields exactly Rs. 250 for Y's weekly earnings. Percentage relationships can be expressed as decimal multipliers in algebraic equations involving currency. Combined total equations are solved by expressing all unknown variables in terms of a single chosen quantity. Weekly compensation problems rely on basic linear algebra and substitution principles.
Payroll departments use proportional salary structures when allocating bonuses or relative pay increases. Business partnership agreements often define profit shares using proportional multipliers between participants. This fundamental algebra problem tests the ability to translate percentage relationships into solvable equations. Option A underestimates Y's weekly earnings, yielding a combined total below the required Rs. 550. Option C overestimates Y's earnings, resulting in a combined total that exceeds the specified weekly sum. Option D is incorrect because option B successfully provides the correct financial figure.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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