Question
A manufacturer sells an article to a wholesaler at a
profit of 20%. The wholesaler sells it to a retailer at a profit of 25%, and the retailer sells it to a customer at a profit of 30%. If the customer pays rupees 975 for the article, what was the cost price for the retailer?Solution
Let the cost price for the manufacturer be 100x Selling price for the manufacturer = 100x × 1.2 = 120x Selling price for the wholesaler = 120x × 1.25 = 150x Selling price for the retailer = 1.5x × 1.3 = 195x Given 195x = 975 x = 5 cost price for the retailer = Selling price for the wholesaler = 150x = 750
Perimeter of a square is equal to the perimeter of a circle that is 704 cm. Find the ratio of the side of the square to the radius of the circle.
The ratio of length to breadth of a rectangle is 5:4, respectively. Perimeter of rectangle is 162 cm. If each side of a square is 25% more than the brea...
The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 33 cm, then find the area ...
A rectangular piece of land has a perimeter of 56 metres and length of 22 metres. If the area of the land is to be divided into 6 equal portions, then w...
The length, breadth and height of a storeroom are 14m, 9m and 10m respectively. If each box occupies 60 m3 of space, then how many boxes can ...
On a rectangular wall of length 35 metres and height 30 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
Determine the volume of a cone with a curved surface area of 180 cm² and a radius of 6 cm. (Assume π = 3 for calculations.)
The radius of a circle is derived from its circumference, which measures 88 meters. A rectangle features a length that exceeds the circle’s radius by ...
Twenty five liters of 60% concentration of acid solution is added to 35 liters of 80% concentration of acid solution. What is the concentration of acid ...
Inside a square land having perimeter equal to 64 metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a...