Advertisements
Advertisements
प्रश्न
Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?
Advertisements
उत्तर
Let the required number of days be x.
| Number of days | 30 | x |
| Number of students | 40 | Doubled = 2 × 40 = 80 |
As the number of students increases the food last for less number of days
∴ They are in inverse proportion.
x1y1 = x2y2
30 × 40 = x × 80
x = `(30 xx 40)/80`
x = 15
The food stock lasts for 15 days
APPEARS IN
संबंधित प्रश्न
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
Which of the following quantities vary inversely as other?
The length x of a journey by bus and price y of the ticket.
A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?
Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must be read in a day to finish it in 8 days?
Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?
If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the time to complete a given work.
If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?
