Question
A piggy bank holds 20-paise, 50-paise and 2-rupee coins in
the ratio 15:12:9. The total amount inside is Rs. 3006. How many 50-paise coins are there?Solution
ATQ,
Let number of coins = 15x, 12x, 9x
Amount = (15x × 0.20) + (12x × 0.50) + (9x × 2)
⇒ 3x + 6x + 18x = 3006
⇒ 27x = 3006
⇒ x = 111
So, number of 50-paise coins = 12x = 12 × 111 = 1332
The perimeter of a rectangle of length 2(x + 5) cm and breadth 2(x + 2) cm is double the perimeter of a square of area 324 cm². Find the area of the re...
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 36000π cm3 inside it.
The length of a rectangle is 64 cm. If the ratio of length to perimeter of the rectangle is 4:15, find the area of a circle whose diameter is 6 cm less ...
The length, breadth and height of a room are 8m, 10m and 12m respectively. Find the cost of white washing the room at the rate of Rs 15 per m²?
If the volume of a cylinder is 180π and the ratio of radius to its height is 6:5 then find the curved surface area of cylinder?
The volume of a cube is 512 cm³. If the cost of painting the cube is Rs. 6 per cm², then find the cost of painting five faces of the cube.
A cylindrical tank is filled at the rate of 6 liters per minute. If the tank is 2 meters tall and has a radius of 50 cm, how long will it take to fill t...
A square’s side is 25% less than the length of a rectangle. The area and breadth of the rectangle are 2000 cm² and 40 cm respectively. Calculate the ...
The ratio of length to breadth of a rectangle is 5:4, respectively. Perimeter of rectangle is 252 cm. If each side of a square is 25% more than the brea...
If the side of square and its area is in the ratio of 10:35 then find its perimeter?
Relevant for Exams:
