Share

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

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

Video TutorialsVIEW ALL 

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.
S