Advertisements
Advertisements
प्रश्न
a and b are inversely proportional to each other and are positive. If a increases by 100%, then b decreases by
पर्याय
50%
75%
10%
200%
Advertisements
उत्तर
50%
Explanation:
a and b are inversely proportional
So, `" a" alpha1/"b"⇒ "a"="k"/"b".`
⇒ ab = k , ..........(where k = constant)
`⇒"b"="k"/"a"`
when a is increases by 100%
`∴ "a"+"a"xx100/100=2"a".`
then, 2 a . b' = k.
`"b"' = "k"/2"a"`
% decrease in b = `(("b"-"b"')/"b")xx100`
`=(("k"/"a"-"k"/(2"a")))/("k"/"a")xx100`
= 50%
APPEARS IN
संबंधित प्रश्न
Direction: Answer the question on the basis of the information given below.
After their wedding, Riz and Rekha decide to move into a new apartment, which is unfurnished. So they decide to buy the necessary home appliances with the gift money that they received at their wedding. The total gift money received was Rs.1,23,000 out of which the amount spent on wooden furniture is Rs.24,000, which is double the amount spent on carpeting the drawing room floor. The remaining amount was spent on buying exactly three items namely TV, AC and Washing Machine, the prices of which are in the ratio 11 : 13: 5 respectively.
If the cost of carpeting the floor is Rs.30 per square feet, then which of the following can represent the length and breadth of the drawing room of Riz and Rekha's apartment?
The position vectors of the two points A and B are a and b respectively then the position vector of the point C which divides AB in the ration 2 : 1 will be :
The ratio of milk and water in 60 Litres of adulterated milk is 2: 1. If the ratio of milk and water is to be 1: 2, then the amount of water to be added further is
Total salary of three persons A, B and C is Rs. 1,44,000. They spend 80%, 85% and 75% respectively. If their savings are in the ratio 8: 9: 20, find C’s salary.
A starts a business with ₹5000 and B joins the business 5 months later with an investment of ₹6000. After a year, they earn a profit of ₹34000. Find the shares of A and B in the profit amount depending on their individual investment.
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
The ratio of ages of Ram and Gopal is 2 : 5 and the ratio of the ages of Gopal and Vishnu is 3 : 4. What would be the ratio of the ages of Ram, Gopal, and Vishnu?
Find the ratio in which rice at ₹7.20 per kg, be mixed with rice at ₹5.70 per kg to produce a mixture worth ₹6.30 per kg.
Kamal and her sister together have ₹2,100. On taking ₹300 from her sister, Kamal will have the same amount as what her sister had earlier. Find the ratio of the initial amounts that Kamal and her sister had.
If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is ______.
