Question
14 boys can do a work in X days and 22 girls can do the
same work in (X + 10).The ratio of work done by 7 boys and 9 girls in the same time is in the ratio 7 : 3. Find the value of X.Solution
7b/9g = 7/3 {b = boys, g= girls} ⇒ 21 b = 63 g ⇒ 1b = 3 g ∴ 14 ×X × 3 = 22 × (X + 10) × 1 42X = 22X + 220 20X = 220 ∴ X = 11 days.
- A school has 720 students. The ratio of boys to girls is 4:2. Among the boys, the passed to failed ratio is 9:3. Among the girls, the passed to failed rati...
- If 70% of (P - Q) is the same as 35% of 80% of (P + Q), then what is the ratio of Q to P?
- The number of small to large packets in a store is in the ratio 3:4. If 18 more packets of each type are added, the ratio changes to 9:11. Find the origina...
- Ravi divided 312 candies among his cousins Ayan, Rishi, and Mehul in the ratio 3:6:7 respectively. What is the difference between the candies received by M...
The ratio of the number of cars and bikes in a showroom is 8:7, respectively. If 25% of cars are electric and 60% of bikes are sports bikes, find the ra...
A boy is supposed to distribute Rs.4400 among his three friends P, Q and R in the ratio of 4:2:5 respectively, but mistakenly he distributed in the rati...
- Determine the fourth proportion for 20, 25, and 40.
In a transport yard, 70% of the vehicles are two-wheelers and the rest are four-wheelers. Find the ratio of the number of wheels of two-wheelers to that...
Three warehouses store goods in the ratio 7:5:6. When 10 more units are added to each, the ratio becomes 9:7:8. What was the original total quantity of ...
The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many...