Advertisements
Advertisements
Question
If half a meter of cloth costs ₹ 15. Find the cost of `8 1/3` meters of the same cloth
Advertisements
Solution
Let the cost of cloth required be x.
| Cost of cloth in ₹ | 15 | x |
| Length of cloth in meters | `1/2` | `8 1/3 = 25/3` |
Cost and length are in direct proportion.
∴ `(x_1)/(y_1) = (x_2)/(y_2), 15/(1/2) = x/(25/3)`
`15 xx 25/3 = x xx 1/2`
`x xx 1/2` = 125
x = 125 × 2
x = 250
∴ Cost of `8 1/3` m of cloth = ₹ 250.
APPEARS IN
RELATED QUESTIONS
A car is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes?
11 men can dig \[6\frac{3}{4}\] metre long trench in one day. How many men should be employed for digging 27 metre long trench of the same type in one day?
In 10 days, the earth picks up 2.6 × 108 pounds of dust from the atmosphere. How much dust will it pick up in 45 days?
A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
- How far will it travel in 20 minutes?
- Find the time required to cover a distance of 250 km.
When two quantities x and y are in ______ proportion or vary ______ they are written as `x oo y`.
If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is ______ cm.
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
From the following table, determine if x and y are in direct proportion or not.
| x | 3 | 6 | 15 | 20 | 30 |
| y | 12 | 24 | 45 | 60 | 120 |
The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.
| Distance (m) | Time (sec.) | |
| Elevator- A | 435 | 29 |
| Elevator- B | 448 | 28 |
| Elevator- C | 130 | 10 |
| Elevator- D | 85 | 5 |
How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?
