Advertisements
Advertisements
प्रश्न
The cost of 97 metre of cloth is Rs 242.50. What length of this can be purchased for Rs 302.50?
Advertisements
उत्तर
Let x metre be the length of the cloth that can be purchased for Rs 302.50.
| Length (in m) | 97 | x |
| Cost (in Rs) | 242.50 | 302.50 |
\[\text{ Since the length of the cloth and its cost are in direct variation, we have } : \]
\[\frac{97}{x} = \frac{242 . 50}{302 . 50}\]
\[ \Rightarrow 97 \times 302 . 50 = x \times 242 . 50\]
\[ \Rightarrow x = \frac{97 \times 302 . 50}{242 . 50}\]
\[ = \frac{29342 . 50}{242 . 50}\]
\[ = 121\]
\[\text{ Thus, the required length will be 121 metre } .\]
APPEARS IN
संबंधित प्रश्न
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
In which of the following tables x and y vary directly?
(i)
| a | 7 | 9 | 13 | 21 | 25 |
| b | 21 | 27 | 39 | 63 | 75 |
(ii)
| a | 10 | 20 | 30 | 40 | 46 |
| b | 5 | 10 | 15 | 20 | 23 |
(iii)
| a | 2 | 3 | 4 | 5 | 6 |
| b | 6 | 9 | 12 | 17 | 20 |
(iv)
| a | 12 | 22 | 32 | 42 | 52 |
| b | 13 | 23 | 33 | 43 | 53 |
Fill in the blank in of the following so as to make the statement true:
Two quantities are said to vary......... with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
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?
A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is ______.
The area of cultivated land and the crop harvested is a case of direct proportion.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the quantity of work.
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 E | Mixture F |
 |
 |
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?
A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 metres to reach the batsman?
