Aptitude - Ratio and Proportion
Exercise : Ratio and Proportion - General Questions
- Ratio and Proportion - Formulas
- Ratio and Proportion - General Questions
6.
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer: Option
Explanation:
Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
120 | x 7x | and | 110 | x 8x | |||||
100 | 100 |
42x | and | 44x | |
5 | 5 |
The required ratio = | 42x | : | 44x | = 21 : 22. | ||
5 | 5 |
7.
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Answer: Option
Explanation:
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, | 2x + 4000 | = | 40 |
3x + 4000 | 57 |
57(2x + 4000) = 40(3x + 4000)
6x = 68,000
3x = 34,000
Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.
8.
If 0.75 : x :: 5 : 8, then x is equal to:
Answer: Option
Explanation:
(x x 5) = (0.75 x 8) x = | 6 | = 1.20 | ||
5 |
9.
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Answer: Option
Explanation:
Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8 = | 5 x | 3 | : | 8 x | 3 | = 3 : | 24 | ||||
5 | 5 | 5 |
A : B : C = 2 : 3 : | 24 | = 10 : 15 : 24 |
5 |
B = | 98 x | 15 | = 30. | ||
49 |
10.
If Rs. 782 be divided into three parts, proportional to : : , then the first part is:
Answer: Option
Explanation:
Given ratio = : : = 6 : 8 : 9.
1^{st} part = Rs. | 782 x | 6 | = Rs. 204 | ||
23 |
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