Advertisements
Advertisements
प्रश्न
An employer finds that if he increases 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.
उत्तर
Original weekly wage of each worker = Rs. x
Original weekly wage bill of employer = Rs. 3150
Number of workers = `3150/x`
New weekly wages of each worker = Rs. (x + 5)
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 – 5x2 + 15750 – 25x = 3250x
–5x2 + 15750 – 125x = 0
x2 + 25x – 3150 = 0
x2 + 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
APPEARS IN
संबंधित प्रश्न
A stone is thrown vertically downwards and the formula d = 16t2 + 4t gives the distance, d metres, that it falls in t seconds. How long does it take to fall 420 metres?
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Find their present ages.
The age of a father is twice the square of the age of his son. Eight years hence, the age of the father will be 4 years more than three times the age of the son. Find their present ages.
The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
A trader bought a number of articles for Rs. 1,200. Ten were damaged and he sold each of the remaining articles at Rs. 2 more than what he paid for it, thus getting a profit of Rs. 60 on the whole transaction. Taking the number of articles he bought as x, form an equation in x and solve it.
The total cost price of a certain number of identical articles is Rs. 4800. By selling the articles at Rs. 100 each, a profit equal to the cost price of 15 articles is made. Find the number of articles bought.
A hotel bill for a number of people for overnight stay is Rs. 4800. If there were 4 people more, the bill each person had to pay, would have reduced by Rs. 200. Find the number of people staying overnight.
In an auditorium, seats were arranged in rows and columns. The number of rows was equal to the number of seats in each row. When the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. Find:
- the number of rows in the original arrangement.
- the number of seats in the auditorium after re-arrangement.
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124. Determine their present ages.
Rs. 480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got Rs. 12 less. Find 'x'.
