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- Question
- 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
- Correct Answer
- 6 : 1
ExplanationLet 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 - 1. The work done by (x + 2) men in (x - 3) days and work done by x men in (x - 2) days are equal. Find the value of x.?
Options- A. 6
- B. 4
- C. 8
- D. 9 Discuss
- 2. Three students A, B and C hired a computer for a month. A runs 27 floppy dics for 19 days, B runs 21 for 17 days and C runs 24 for 23 days. If at the end of the month, the rent amounts to ? 23700, how much amount outght to be paid by A?
Options- A. ? 8550
- B. ? 5950
- C. ? 9200
- D. ? 6750 Discuss
- 3. One year ago the ratio between Laxman's and Gopal's salary was 3 : 4. The ratio of their individual salaries between last year's and this year's salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4,160. The salary of Laxman now is?
Options- A. Rs. 1040
- B. Rs. 1600
- C. Rs. 2560
- D. Rs. 3120 Discuss
- 4. The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class. The ratio changes to 4 : 5 : 7. The total number of students before the increase were?
Options- A. 10
- B. 90
- C. 100
- D. None of these Discuss
- 5. The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers travelling by first and second class is 1 : 40. If Rs. 1100 is collected as fare, the amount collected from first class passengers is?
Options- A. Rs. 275
- B. Rs. 315
- C. Rs. 315.50
- D. Rs. 100 Discuss
- 6. 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
- 7. 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
- 8. ? 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
- 9. 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
- 10. 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
Ratio and Proportion problems
Search Results
Correct Answer: 6
Explanation:
Work done by (x + 2 ) men in (x - 3) days = (x + 2) (x - 3)
Work done by x men in (x - 2) days = x(x - 2)
? (x + 2) (x - 3) = x(x - 2)
On Solving, we get x = 6
Correct Answer: ? 8550
Explanation:
Floppy - days = Number of floppies X Days run
Here, A's floppy - days : B 's floppy - days : C's floppy - days = A's payment for rent : B 's payment for rent : C's payment for rent
= 27 x 19 : 21 x 17 : 24 x 23
A's rent : B's rent : C's rent = 171 : 119 : 184
? Payment for rent by A = [171/(171 + 119 + 184)] x 23700 = ? 8550
Correct Answer: Rs. 1600
Explanation:
Let the salaries of Laxman and Gopal one year before be x1 ,y1 respectively.
? x1/y1 = 3/4 ......(1)
x2 + y2 = 4160 .....(2)
From equations (1) and (2)
x2 = Rs. 1600.
Correct Answer: 100
Explanation:
Let the number of students be 2x, 3x and 5x
? (2x + 20) : (3x + 20) : (5x + 20) = 4 : 5 : 7
? (2x + 20)/4 = (3x + 20)/5 = (5x + 20)/7
? 5(2x + 20) = 4(3x + 20)
? x = 10
Hence, total number of student before increase = 10x = 100.
Correct Answer: Rs. 100
Explanation:
Ratio of amounts collected from 1st and 2nd class = (4 x 1 : 1 x 40) = (1 : 10)
?Amount collection as 1st class fare = Rs. (1100 x 1/11) = Rs.100
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: 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: ? 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: ? 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: 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
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