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# An Employer Finds that If He Increased the Weekly Wages of Each Worker by Rs 5 and Employs Five Workers Less, He Increases His Weekly Wage Bill from Rs 3,150 to Rs 3,250. Taking th - ICSE Class 10 - Mathematics

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#### Question

An employer finds that if he increased the weekly wages of each worker by Rs 5 and employs five workers less, he increases his weekly wage bill from Rs 3,150 to Rs 3,250. Taking the original weekly wage of each worker as Rs x; obtain an equation in x and then solve it to find the weekly wages of each worker.

#### Solution

The original weekly wage of each worker = Rs x

The original weekly wage bill of employer = Rs 3150

Number of workers = 3150/x

New weekly wages of each worker = Rs (x + 5)

The new weekly wage bill of employer = Rs 3250

Number of workers = 3250/(x + 5)

From the given condition

3150/x - 5 = 3250/(x + 5)

(3150 - 5x)/x = 3250/(x + 5)

3150x - 5x^2 + 15750 - 25x = 3250x

-5x^2 + 15750 - 125x = 0

x^2 + 70x - 45x - 3150 = 0

x(x + 70) - 45(x + 70) = 0

(x + 70)(x - 45) = 0

x = -70, 45

Since wage cannot be negative x = 45

Thus the original weekly wage of each worker is Rs 45

Is there an error in this question or solution?

#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6D | Q: 10

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Solution An Employer Finds that If He Increased the Weekly Wages of Each Worker by Rs 5 and Employs Five Workers Less, He Increases His Weekly Wage Bill from Rs 3,150 to Rs 3,250. Taking th Concept: Quadratic Equations.
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