3m qn

1. Alice bought some candies. She ate the same number of candies everyday. After 4 days, she had 5/6 of the candies left. After another 5 days,
she had 30 candies left. How many candies did she have at first ?

2. During a school assembly, the ratio of the number of girls to the number of boys was 6 : 7. If 63 girls left the school hall, the new ratio of the number of girls to the number of boys became 9 : 14. How many pupils were there in the school hall at first ?

3. Tap A can fill up an empty tank in 20 minutes.

Tap B can empty the same tank completely filled with water in 12 minutes.

Both taps are turned on at the same time when the tank is half-filled with water.

How long will it take for the tank to be totally emptied?

4. A cuboid has a rectangular base of perimeter of 64 cm. The ratio of its length to its breadth of the base is 5:3. The volume of the cuboid is 2400 cm³.

Find its height.

5. Raju earns a monthly salary of $ 4 500. He spends 1/5  on food and gives 2/3 of the remainder to his mother. He will save the remaining sum of his salary. How much will he save after 1 year?