Advertisements
Advertisements
प्रश्न
a and b are inversely proportional to each other and are positive. If a increases by 100%, then b decreases by
विकल्प
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
Choose the most appropriate option.
Praveen has Rs. 4,662 in the form of 2, 5 and 10 rupee notes. If these notes are in the ratio of 3:5:8, the number of five rupees notes with him is:
₹324 is divided among three friends Sonu, Monu, and Hari in the ratio 5:6:7. What is Monu's share of the money?
A person spends 1/3 part of his income on food, 1/4 part on house rent and remaining ₹630 on other items. The house rent is
A farmer has some hens and some goats. If the total number of animal heads is 80 and the total number of animal feet is 200, what is the tolal number of goats?
Seats for Mathematics, Physics, and Biology in a school are in the ratio 5 : 7: 8. There is a proposal to increase these seats by 40%, 50% and 75%, respectively. What will be the ratio of increased seats?
At the beginning of a partnership business, the capital of B was `3/2` times that of A. After 8 months B withdrew `1/2` of his capital and after 10 months A withdrew `1/4`of his capital. At the end of the year, if the profit incurred is ₹53000 find the amount received by A.
The ratio of their monthly income and expenditure of Dinesh is 17:14, and his monthly savings are ₹12,000. If his monthly income is increased by ₹10,000 and expenditure is decreased by ₹2,000, then the new ratio of his income and expenditure is:
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.
A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save ₹ 1800 and ₹ 1600 respectively, find the monthly income of B:
A person distributes his pens among four friends A, B, C, D in the ratio `1/3 : 1/4 : 1/5 : 1/6 `. What is the minimum number of pens that the person should have?
