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- Question
- If a + b : b + c : c + a = 6 : 7 : 8 and a + b + c = 14, then find c?
Options- A. 6
- B. 7
- C. 8
- D. 10
- Correct Answer
- 10
ExplanationLet a + b = 6k, b + c = 7k, c + a = 8k ...(i)
and a + b + c = 14 ...(ii)
From Eq. (i),
a + b + b + c + c + a = 6K + 7K + 8K
? 2(a + b + c) = 21K
? 2 x 14 = 21K
? K = 28/21 = 4/3
? a + b 6k = = 6 x 4/32 = 8
Subtracting Eq. (iii) from Eq. (ii), we get
(a + b + c) - (a + b) = 14 - 8 = 6 - 1. In a certain school, the ratio of boys to girls is 7 : 5. If there are 2400 students in the school, then how many girls are there in the school?
Options- A. 500
- B. 700
- C. 800
- D. 1000 Discuss
- 2. In a mixture of 60 L, the ratio of milk and water is 2 : 1. If the ratio of milk and water is to be 1 : 2, then the amount of water to be further added must be?
Options- A. 40 L
- B. 30 L
- C. 20 L
- D. 60 L Discuss
- 3. On mixing two classes of students having average marks 25 and 40 respectively, the overall average obtained is 30 marks. Find the number of students in first class, if the second class has 30 students.?
Options- A. 45
- B. 60
- C. 70
- D. 80 Discuss
- 4. A started a business with a capital of ? 10000 and 4 months later , B joined him with a capital of ? 5000. What is the share of A in the total profit of ? 2000 at the end of the year?
Options- A. ? 800
- B. ? 1000
- C. ? 1500
- D. ? 1800 Discuss
- 5. ? 1290 is divided between A, B and C, so that A's share is 1 1/ 2 times B's share and B's share is 1 3/ 4 C's share. What is C's share?
Options- A. ? 200
- B. ? 400
- C. ? 240
- D. ? 420 Discuss
- 6. One - half of a certain number is equal to 65% of the 2nd number. Find the ratio of 1st to 2nd number.
Options- A. 10 : 13
- B. 8 : 13
- C. 13 : 8
- D. 13 : 10 Discuss
- 7. The ratio between two number is 3 : 4. if each number is increased by 3, the ratio becomes 4 : 5. Find the differences between the numbers.
Options- A. 3
- B. 9
- C. 2
- D. 7 Discuss
- 8. From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers?
Options- A. 5 : 2
- B. 1 : 4
- C. 4 : 1
- D. 4 : 5 Discuss
- 9. Two number are in the ratio of 2 : 3. If 9 is added to each number, they will be in the ratio 3 : 4. What is the product of the two numbers?
Options- A. 360
- B. 480
- C. 486
- D. 512 Discuss
- 10. Weekly income of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves ? 300 per week, then the weekly income of the first person is?
Options- A. ? 7500
- B. ? 4500
- C. ? 6300
- D. ? 5400 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 1000
Explanation:
Let the number of boys and girls are 7k and 5k, respectively.
Given, total number of students = 2400
? 7k + 5k = 2400
? 12k = 2400
? k = 200
? Required number of girls = 5k = 5 x 200 = 1000
Correct Answer: 60 L
Explanation:
Milk = (2/3) x 60 = 40 L
Water = (1/3) x 60 = 20 L
Water added = W L
Now, 40/(20 + W) = 1/2
? W = 60 L
Correct Answer: 60
Explanation:
Students in the first class / Students in second class = (40 - 30)/(30 - 25) = 10/5 = 2/1
? Students in first class = 2 x 30 = 60
Correct Answer: ? 1500
Explanation:
Profit of A/Profit of B = (Amount x Number of months) / (Amount x Number of months)
= (10000 x 12)/(5000 x 8) = 3/1
? Profit share of A = [3/(3 + 1)] x 2000 = ? 1500
Correct Answer: ? 240
Explanation:
A : B = 11/2 = 3 : 2 = 3 x 7 : 2 x 7 = 21 : 14
B : C = 13/4 : 1 = 7 : 4 = 7 x 2 : 4 x 2 = 14 : 8
? A : B : C = 21 : 14 : 8
? C's share = [8/(21 + 14 + 8)] x 1290 = ? 240
Correct Answer: 13 : 10
Explanation:
Let 1st number = x and 2nd number = y
According to the question 1/2 of x = 65% of y
? x/y = 130/100 = 13/10
? x : y = 13 : 10
Correct Answer: 3
Explanation:
Let the number be 3k and 4k.
According to the question,
(3k + 3)/(4k+ 3) = 4/5
? 5(3k + 3 ) = 4(4k + 3)
? 15k + 15 = 16k + 12
? k = 15 - 12 = 3
? Difference between the numbers = (4k - 3k) = k = 3
Correct Answer: 5 : 2
Explanation:
Let the smaller number = M and the greater number = N
According to the question ,
(N - M/2) = 4(M - M/2)
? N - M/2 = 4M/2
? N = 2M + M/2
? N = 5M/2
? N : M = 5 : 2
Correct Answer: 486
Explanation:
Let the number be M and N
According to the question.
M/N = 2/3
? 3M = 2N
? 3M - 2N = 0 ...(i)
And (M + 9)/(N + 9) = 3/4
? 4M + 36 = 3N + 27
? 4M - 3N = -9 ...(ii)
Multiplying Ex. (i) by 4 and Eq. (ii) by 3 and subtracting, we get N = 27
Now, putting N = 27 in Eq. (i), we get 3M = 54
? M = 18
? Product of the given numbers = 27 x 18 = 486
Correct Answer: ? 6300
Explanation:
Let the income of two persons are 7k and 3k
Expenditure of first person = 7k - 300
Expenditure of second person = 3k - 300
According to the question,
(7k - 300)/(3k - 300) = 5/2
? 14k - 600 = 15k - 1500
? k = 900
Income of first person = 7k = 7 x 900
= ? 6300
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