Advertisements
Advertisements
Question
A dozen bananas costs ₹ 20. What is the price of 48 bananas?
Advertisements
Solution
Let the required price be ₹ x.
As the number of bananas increases price also increases
∴ Number of bananas and cost are in direct proportion.
| Number of bananas | 1 dozen = 12 | 48 |
| Cost in rupees | 20 | x |
`(x_1)/(y_1) = (x_2)/(y_2)`
`12/20 = 48/x`
x = `(48 xx 20)/12`
x = 80
∴ Price of 48 bananas = ₹ 80.
APPEARS IN
RELATED QUESTIONS
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Explain the concept of direct variation.
Complite the following table given that x varies directly as y .
| x | 2.5 | ... | ... | 15 |
| y | 5 | 8 | 12 | ... |
Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow it in 4 hours. How long will Sohan take to mow the lawn if he works alone?
A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A finish the remaining work?
On increasing a, b increases in such a manner that `a/b` remains ______ and positive, then a and b are said to vary directly with each other.
Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Simple interest on a given sum and the rate of interest.
The following table shows the distance travelled by one of the new eco-friendly energy-efficient cars travelled on gas.
| Litres of gas | 1 | 0.5 | 2 | 2.5 | 3 | 5 |
| Distance (km) | 15 | 7.5 | 30 | 37.5 | 45 | 75 |
Which type of properties are indicated by the table? How much distance will be covered by the car in 8 litres of gas?
Kusum always forgets how to convert miles to kilometres and back again. However she remembers that her car’s speedometer shows both miles and kilometres. She knows that travelling 50 miles per hour is same as travelling 80 kilometres per hour. To cover a distance of 200 km, how many miles Kusum would have to go?
