Advertisements
Advertisements
प्रश्न
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
Advertisements
उत्तर
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
If a = 6 and b = 15
Then, a × b = 6 × 15 = 90
⇒ k = 90
When a = 2 and b = x, then
ab = k
⇒ 2 × x = 90
⇒ x = `90/2` = 45
When a = y and b = 12.5, then
ab = k
∴ y × 12.5 = 90
⇒ y = `90/12.5` = 7.2
When a = 10 and b = z then
ab = k
⇒ 10 × z = 90
⇒ r = `90/10` = 9
APPEARS IN
संबंधित प्रश्न
Which of the following are in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
It x and y vary inversely, fill in the following blank:
| x | 12 | 16 | ... | 8 | ... |
| y | ... | 6 | 4 | ... | 0.25 |
A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she cycles at a speed of 4 km/hr, how long would she take?
It takes 120 minutes to weed a garden with 6 gardeners. If the same work is to be done in 30 minutes, how many more gardeners are needed?
If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______ hours.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Increase in cost and number of shirts that can be purchased if the budget remains the same.
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?
