Question
The number of boys and girls in a college is in the ratio
of 6:5. If 12 boys were absent and 18 girls joined, their numbers would be equal. Determine the original number of girls enrolled in the college.Solution
ATQ,
Let the number of boys and girls be 6n and 5n, respectively.
So, 6n - 12 = 5n + 18
n = 30
Therefore, number of girls = 5 × 30 = 150
A car travel 20km/h for 30 min and at x km/h for 45 min. If the average speed of the car for entire journey is 14 km/h find the value of x.
‘A’ and ‘B’ can do a piece of work in 25 days and 30 days, respectively. If they started the work together and worked on it for 5 days, then fin...
In a Mixture, the ratio of Milk and Water is 7: 5. If 12 litre mixture drawn off and replace by 8 litre water then the ratio of Milk and Water become 1...
The perimeter of a square field is 10 cm more than the perimeter of a rectangle. The length of the rectangle is 60 cm which is 80% of its width. If a st...
Length and breadth of a rectangular field is (x + 5) cm and (x – 4) cm, respectively. If the cost of ploughing the field at a rate of Rs. 7 per cm² i...
In what ratio coffee at 255 Rs/kg should be mixed with the coffee at 310 Rs/kg so that after mixture its rate become 270 Rs/kg if the quantity of 1st ty...
The ratio of the number of boys and girls in a school is 23:17. If 45% of the boys and 50% of the girls got passed out of 1600 students, the approximate...
In what ratio coffee at 285 Rs/kg should be mixed with the coffee at 320 Rs/kg so that after mixture its rate become 300 Rs/kg if the quantity of 1st ty...
(141.95 – 112.06) × (45.21 – 38.99) = ?
A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene, 8 litre are drawn off and then the vessel is filled with petrol. Re...
Relevant for Exams:
