Advertisements
Advertisements
प्रश्न
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
Advertisements
उत्तर
Let the number of toys produced be x.
∴ Cost of production of each toy = Rs (55 − x)
It is given that the total production of the toys = Rs 750
∴ x(55 − x) = 750
⇒ x2 – 55x + 750 = 0
⇒ x2 – 25x − 30x + 750 = 0
⇒ x(x − 25) − 30(x − 25) = 0
⇒ (x − 25)(x − 30) = 0
Either x − 25 = 0 or x − 30 = 0
⇒ x = 25 or x = 30
Hence, the number of toys will be either 25 or 30.
संबंधित प्रश्न
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
The hypotenuse of a right triangle is `3sqrt10`. If the smaller leg is tripled and the longer leg doubled, new hypotenuse wll be `9sqrt5`. How long are the legs of the triangle?
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
`8x^2-14x-15=0`
Find the tow consecutive positive odd integer whose product s 483.
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
The sum of a number and its reciprocal is `2 9/40`. Find the number.
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
Solve the following by reducing them to quadratic equations:
`((7y - 1)/y)^2 - 3 ((7y - 1)/y) - 18 = 0, y ≠ 0`
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/hr. find the speed of the boat in still water.
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?
For quadratic equation `2x + 5/x = 5` :
