Advertisements
Advertisements
Question
The work done by (x – 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3: 10. Find the value of x.
Advertisements
Solution
(x - 3) men do a work in (2x + 1) day
∴ 1 man does it in (2x + 1) (x - 3) days
(2x + 1) men do a work in (x + 4) days
∴ 1 man does it in (x + 4) (2x + 1) days
∴ `((2x + 1) (x - 3))/((x + 4) (2x + 1)) = (3)/(10)`
`(x - 3)/(x + 4) = (3)/(10)`
10x - 30 = 3x + 12
10 -3x = 12 + 30
7x = 42
x = `(42)/(7)`
x = 6.
APPEARS IN
RELATED QUESTIONS
Convert the following percentage to fractions and ratio:
25%
Divide Rs 10,400 among A, B and C in the ratio `1/2:1/3:1/4`
A profit of Rs 2,500 is to be shared among three persons in the ratio 6 : 9 : 10. How much does each person get?
The ratio of the number of girls to the number of boys in a school is 2 : 5. If the number of boys is 225; find:
(i) the number of girls in the school.
(ii) the number of students in the school.
Which of the following numbers are in continued proportion:
12, 18 and 27
In a business, A invests Rs 50000 for 6 months, B Rs 60000 for 4 months and C, Rs 80000 for 5 months. If they together earn Rs 18800 find the share of each.
The cost of parking a bicycle is ₹ 5 and the cost of parking a scooter is ₹ 15. Find the simplest ratio of the parking cost of a bicycle to that of a scooter
`3/8 = 15/40`
Ramesh earns Rs. 28000 per month. His wife Rama earns Rs. 36000 per month. Find the ratio of ramesh’s earnings to their total earnings.
Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.
