# Simple Arithmetic/ Ratio & Proportion/ Maths/ Solved Model Questions

Simple Arithmetic /Ratio & Proportion is about some model questions that you can expect for competitive examinations. Here you can find out practice problems from the topic Ratio & Proportion

SIMPLE ARITHMETIC / RATIO & PROPORTION/ MATHS/Solved Model Questions for Competitive Examination.
Choose the correct answer from the options given below:

1. If A: B = 2:3, B: C = 4:5 Find A: C?
A. 8: 15
B. 15: 8
C. 2: 5
2. If A: B = 3: 4, B: C = 5: 7, C: D = 2: 3, find A: D?
A. 14: 5
B. 5: 14
C. 5: 7
3. Sum of three numbers is 360. If it is in the ratio 2: 3: 4, find the greatest number?
A. 80
B. 160
C. 240
4. Divide 60 rupees between Niya and Miya in the ratio 2: 3. How much amount Niya will get?
A. 24
B. 36
C. 48
5. If b is two third of a, find a: b?
A. 2: 3
B. 3: 2
C. 3: 4
6. If the ratio between boys and girls in a school are 2: 3. If the total number of students is 2100, find the number of girls?
A. 840
B. 1020
C. 1260
7. If the ratio between boys and girls in a class are in the ratio 1: 2. If there are 25 boys, find the number of girls?
A. 20
B. 25
C. 30
8. Equivalent ratio of 3: 4 is ————
A. 6: 12
B. 9: 12
C. 6: 9
9. Present age of father is 36 years and his son is 6 years. Find the ratio of their ages in simplest form?
A. 1: 6
B. 6: 1
C. 3: 6
10. Ramu sells 3 kg of grapes for 270 rupees and Raju sells 5 kg of grapes for 450 rupees. Whose grapes are more expensive?
A. Ramu
B. Raju
C. Both are same

1. 8: 15
2. 5: 14
3. 160
4. 24 RUPEES
5. 3: 2
6. 1260
7. 50
8. 9: 12
9. 6: 1
10. Both are equal

Explanation:

1. A: C = A/C = A/B x B/C = 2/3 x 4/5 = 8/15 = 8: 15
2. A: D = A/B x B/C x C/D = ¾ x 5/7 x 2/3 = 5/ 14 = 5: 14
3. Given ratio is 2: 3: 4
Sum of the parts = 2 + 3 + 4 = 9
So the 3 numbers are 360 x 2/9 = 40 x 2 = 80
360 x 3/9 = 40 x 3 = 120
360 x 4/9 = 40 x 4 = 160
So the greatest number is 160
4. Given ratio is 2: 3
Sum of the parts = 2 + 3 = 5
Niya’s share = 60 x 2/5 = 120/5 = 24 rupees
Miya’s Share = 60 x 3/5 = 180/5 = 36 rupees
Therefore Niya will get 24 rupees
5. Given b = 2a/3
3b = 2a
3/2 = a/b
So a: b = 3: 2
6. Given ratio is 2:3
Total number of students = 2100
Number of girls = 2100 x 3/5 = 1260
7. Let the number of girls be x
Given 1: 2 = 25: x
½ = 25/x
x = 50
8. Multiply both 3 and 4 by 3, so you will get an equivalent ratio as 9: 12
9. Ratio of the age of father and his son is 36: 6 = 6: 1
10. Cost of 3 kg of grapes = 270
Cost of 1 kg grapes = 270/3 = 90 rupees
Cost of 5 kg of grapes = 450
Cost of 1 kg grapes = 450/5 = 90 rupees
Therefore, both are same.