Advertisements
Advertisements
प्रश्न
Ritu bought a saree for Rs. 60x and sold it for Rs. (500 + 4x) at a loss of x%. Find the cost price.
Advertisements
उत्तर
The cost price of saree = Rs. 60x
and selling price = Rs. (500 + 4x)
Loss = x%
Now, according to the condition
S.P. = C.P. × `(100 - "Loss"%)/(100)`
500 + 4x = `(60x(100 - x))/(100)`
⇒ 50000 + 400x = 6000x - 60x2
⇒ 60x2 - 6000x + 400x + 50000 = 0
⇒ 60x2 - 5600x + 50000 = 0
⇒ 3x2 - 280x + 2500 = 0 ...(Dividing by 20)
⇒ 3x2 - 30x - 250x + 2500 = 0
⇒ 3x(x - 10) - 250(x - 10) = 0
⇒ (x - 10)(3x - 250) = 0
Either x - 10 = 0,
then x = 10
or
3x - 250 = 0,
then 3x = 250
⇒ x = `(250)/(3)`
But it is not possible
∴ Loss = 10%
Cost price = 60x
= 60 × 10
= Rs. 600
APPEARS IN
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.
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
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.
Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and \[b x^2 - 2\sqrt{ac}x + b = 0\] have equal roots.
Show that x = −3 is a solution of x2 + 6x + 9 = 0.
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
If α and β are roots of the quadratic equation x2 – 7x + 10 = 0, find the quadratic equation whose roots are α2 and β2.
