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- Question
- 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
- Correct Answer
- 60
ExplanationStudents in the first class / Students in second class = (40 - 30)/(30 - 25) = 10/5 = 2/1
? Students in first class = 2 x 30 = 60 - 1. 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
- 2. ? 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
- 3. Three hikers A, B and C start on a trip with ? 50 each and agree to share the expenses equally. If at the end of the trip, A has ? 20 left with him, B ? 30 and ? 40, by how much amount must they settle their accounts?
Options- A. A must pay ? 10 to C
- B. C must pay ? 10 to B
- C. B must pay ? 10 to C
- D. C must pay ? 10 to A Discuss
- 4. The ratio of expenditure and saving of a person is 26 : 3 . If his monthly income is ? 7250, then what is his monthly savings?
Options- A. ? 290
- B. ? 350
- C. ? 750
- D. ? 780 Discuss
- 5. 1 yr ago, the ratio between mother and daughter age was 4 : 1. The ratio of their ages after 4 yr will be 3 : 1. Find the ratio of their ages 5 yr ago?
Options- A. 6 : 1
- B. 1 : 6
- C. 2 : 3
- D. 3 : 2 Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Ratio and Proportion problems
Search Results
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: C must pay ? 10 to A
Explanation:
They start with total of (50 x 3) = ? 150 and they return after the trip with (20 + 30 + 40) = ? 90.
So, to settle their accounts, each person must have 90/3 = ? 30 with them,
Hence, C must pay ? 10 to A
Correct Answer: ? 750
Explanation:
Let the expenditure and saving be ? 26y and ? 3y, respectively.
Then, according to the question,
26y + 3y = 7250
? 29y = 7250
? y = 7250/29
? y = 250
So, his monthly saving is (250 x 3) i., e ? 750
Correct Answer: 6 : 1
Explanation:
Let the present age of mother be x and daughter be y.
From question,
(x - 1)/(y - 1) = 4/1
? x - 1 = 4(y - 1)
? x = 4y - 3 ......(i)
Again from question,
(x + 4)/(y + 4) = 3/1
? x + 4 = 3(y + 4)
? x = 3y + 8 ..(ii)
On Solving Eqs. (i) and (ii), we get y = 11 and x = 41
? Ratio of their ages 5 yr ago = (x - 5)/(y - 5) = 36/6 = 6/1 = 6 : 1
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: 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: 10
Explanation:
Let 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
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
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