Advertisements
Advertisements
Question
Rohit bought 12 registers for Rs 156, find the cost of 7 such registers.
Solution
Let the cost of 7 registers be Rs x.
Register | 12 | 7 |
Cost(in Rs.) | 156 | x |
\[\text{ If he buys less number of registers, the cost will also be less } . \]
\[\text{ Therefore, it is a direct variation .} \]
\[\text{ We get: } \]
\[12: 7 = 156: x\]
\[ \Rightarrow \frac{12}{7} = \frac{156}{x}\]
\[ \text{ Applying cross muliplication, we get: } \]
\[x = \frac{156 \times 7}{12}\]
\[ = 91\]
\[\text{ Thus, the cost of 7 such registers will be Rs 91 } .\]
APPEARS IN
RELATED QUESTIONS
Complite the following table given that x varies directly as y .
x | 3 | 5 | 7 | 9 |
y | ... | 20 | 28 | ... |
Rakesh can do a piece of work in 20 days. How much work can he do in 4 days?
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
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?
The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?
When the speed remains constant, the distance travelled is ______ proportional to the time.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Area of land and its cost.
It is given that l varies directly as m. Find m when l is 8.
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
Mixture G | Mixture H |
![]() |
![]() |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
Here is a key board of a harmonium:
- Find the ratio of white keys to black keys on the keyboard.
- What is the ratio of black keys to all keys on the given keyboard.
- This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns.