Question:
There are 48 students in a college union and the ratio of the number of boys to the number of girls is 5:3. The number of girls to be included in this union, so that the ratio of the number of boys to number of girls become 6:5, is:
There are 48 students in a college union and the ratio of the number of boys to the number of girls is 5:3. The number of girls to be included in this union, so that the ratio of the number of boys to number of girls become 6:5, is:
Updated On: Sep 16, 2026
- 6
- 7
- 12
- 17
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Step 1: Find the actual number of boys and girls
Total students = 48, ratio boys : girls = 5 : 3, total parts = 8.
Boys = (5/8) x 48 = 30, Girls = (3/8) x 48 = 18.
Step 2: Let x girls be added and write the new ratio condition
Boys remain 30 (only girls are added). New girls = 18 + x.
New ratio: 30/(18 + x) = 6/5
Step 3: Cross multiply and solve for x
30 x 5 = 6 x (18 + x)
150 = 108 + 6x
6x = 42
x = 7
Final Answer: 7
- Use the given ratio and total to find the actual number of boys and girls.
- When only girls are added, the number of boys stays fixed while girls increase.
- Form an equation with the new ratio and solve for the unknown number added.
Step 1: Find the actual number of boys and girls
Total students = 48, ratio boys : girls = 5 : 3, total parts = 8.
Boys = (5/8) x 48 = 30, Girls = (3/8) x 48 = 18.
Step 2: Let x girls be added and write the new ratio condition
Boys remain 30 (only girls are added). New girls = 18 + x.
New ratio: 30/(18 + x) = 6/5
Step 3: Cross multiply and solve for x
30 x 5 = 6 x (18 + x)
150 = 108 + 6x
6x = 42
x = 7
Final Answer: 7
Was this answer helpful?
0
0
Top NIFT Quantitative Ability Questions
- The cost of manufacturing a car depends upon three items: cost of material, labour and overheads. In a year, the cost of these items were in the ratio 4:3:2. Next year the cost of material increased by 10%, cost of labour increased by 8% but cost of overheads reduced by 5%. If same number of cars were produced in each year, then the percentage increase in the price of the car, would be:
- Vinay saves 10% of his income. If his income increases by 16%, and his saving increases by 10%, then what percentage does his expenditure increase?
- An item is marked for sale at ₹ 7,200. A dealer allows a discount of 10% and yet makes a profit of 8%. What would have been his gain percentage, if no discount was allowed?
- A sum of money invested at a certain rate of simple interest amounts to ₹ 7400 in 6 years and to ₹ 8200 in 8 years. The rate of interest per annum, is:
- The average of 11 consecutive even numbers written in ascending order is 30. What is the average of the 3rd and the 10th number?
View More Questions
Top NIFT Ratio adjustment problems Questions
Top NIFT Questions
- Choose the appropriate phrase to replace the underlined part:
If you are thinking about investing, \(\underline{\text{isn't make sense to find an experienced financial advisor?} }\)
- Choose the appropriate phrase to replace the underlined part:
The old man looked \(\underline{\text{with caution before he crossed the busy street.} }\) - Choose the appropriate phrase to replace the underlined part:
The new bank clerk kicked up a row with a senior colleague. - Choose the word with nearly the same meaning as the given word:
NADIR - Choose the word with nearly the same meaning as the given word:
ABSTRUSE
View More Questions