Question

Solve the following:-
1. In a camp there is food provision for 600 soldiers for 25 days. If 150 more soldiers join the camp, then how many days will the food lasts?

2. If 27 people can complete a piece of work in how many days can 6 people complete the work?

3. Soni's yearly income is ₹1, 25, 000 and her expenditure is ₹75, 000. Find the ration of her
a) earning to expenditure
b) saving to expenditure
c) earning to saving

4. These are 65 employees working in an office. If the number of males is 30 and the remaining are female, find the ratio of
a) the number of males to the number of females.
b) The number of females to males to employees.

Answer 1

Step-by-step explanation:

1] After 10days, 25 men left. Till 10days, all 150 men ate = 150×10 = 1500 units of food. Food will last = 5250 ÷ 125 = 42 days. Thus remaining food will last for 42 more days.

2] If 27 men complete 1/6 of a job in 20 days, it takes 120 days for them to get it done. Now, by increasing the number of men that work together, the days required for the task to be done decreases in a proportion so that the product men * days is unchanged. This is called inverse variation.

So, considering that we need the project to be finished in 90 days, we can easily solve the equation 27 * 120 = x * 90, and get x = 36 (men), meaning that 9 more men are required.

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