Advertisements
Advertisements
प्रश्न
The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3 : 8. Find the value of x.
उत्तर
Assuming that all the men do the same amount of work in one day and one day work of each man = 1 units, we have,
Amount of work done by (x – 2) men in (4x + 1) days
= Amount of work done by (x – 2)(4x + 1) men in one day
= (x – 2)(4x + 1) units of work
Similarly,
Amount of work done by (4x + 1) men in (2x – 3) days
= (4x + 1)(2x – 3) units of work
According to the given information,
`((x - 2)(4x + 1))/((4x + 1)(2x - 3)) = 3/8`
`(x - 2)/(2x - 3) = 3/8`
8x – 16 = 6x – 9
2x = 7
x = `7/2` = 3.5
APPEARS IN
संबंधित प्रश्न
The weekly expenses of a boy have increased from ₹ 1,500 to ₹ 2,250. Find the ratio of:
(i) increase in expenses to original expenses.
(ii) original expenses to increased expenses.
(iii) increased expenses to increase in expenses.
Which is greater 4: 5 or 19: 25.
Find the compound ratio of the following:
If A : B = 4 : 5, B : C = 6 : 7 and C : D = 14 : 15. Find A : D.
Find the fourth proportional of `1/3, 2/5 "and" 8.4`
Find the third proportional of 27 and 9
Find the duplicate ratio of 5a : 6b
The income of a man is increased in the ratio of 10 : 11. If the increase in his income is Rs 600 per month, find his new income.
The sides of a triangle are in the ratio 7 : 5 : 3 and its perimeter is 30 cm. Find the lengths of sides.
Antony brushes his teeth in the morning and night on all days in a week. Shabeen brushes her teeth only in the morning. What is the ratio of the number of times they brush their teeth in a week?
See the figure and find the ratio of number of triangles to the number of circles inside the rectangle.
