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- Question
One year ago the ratio between Maneela?s and Shanthi?s salary was 3 : 4. The ratios 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. 4160. The salary of Maneela, now is?
Options- A. Rs. 1600
- B. Rs. 1700
- C. Rs. 1800
- D. Rs. 1900
- Correct Answer
- Rs. 1600
ExplanationLet the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.
Then, from the given data,
M1/S1 = 3/4 .....(1)
M1/M2 = 4/5 .....(2)
S1/S2 = 2/3 .....(3)
and M2 + S2 = 4160 .....(4)
Solving all these eqtns, we get M2 = Rs. 1600.
- 1. 3 : 12 :: 5 : ?
Options- A. 17
- B. 30
- C. 26
- D. 32 Discuss
- 2. The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?
Options- A. Rs. 5500
- B. Rs. 6000
- C. Rs. 6200
- D. Rs. 6350 Discuss
- 3. If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
Options- A. 12
- B. 15
- C. 16
- D. 19 Discuss
- 4. The third proportional to x2-y2 and x-y is :
Options- A. (x + y )
- B. (x - y)
- C. (x + y) / ( x - y)
- D. (x -y) / ( x + y) Discuss
- 5. The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?
Options- A. 4,12,480
- B. 3,67,500
- C. 5,44,700
- D. 2,98,948 Discuss
- 6. 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:
Options- A. 10
- B. 20
- C. 30
- D. 40 Discuss
- 7. For any two numbers m , n ; (m+n) : (m-n) : mn = 7: 1: 60 . Find the value of 1/m : 1/n
Options- A. 4:3
- B. 8:7
- C. 3:4
- D. 7:8 Discuss
- 8. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Options- A. 48
- B. 12
- C. 36
- D. 60 Discuss
- 9. Rice worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety of rice per kg?
Options- A. Rs. 571.25
- B. Rs. 175.5
- C. Rs. 751.75
- D. Rs. 850 Discuss
- 10. If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B?
Options- A. 27 Years
- B. 75 Years
- C. 45 Years
- D. 49 Years Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 30
Explanation:
Correct Answer: Rs. 6000
Explanation:
The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000
Correct Answer: 12
Explanation:
Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.
Smallest part = (76*3/19) = 12
Correct Answer: (x -y) / ( x + y)
Explanation:
Let the third proportional to and be z. Then,
=> z=
Correct Answer: 3,67,500
Explanation:
Let the total population be 'p'
Given ratio of male and female in a city is 7 : 8
In that percentage of children among male and female is 25% and 20%
=> Adults male and female % = 75% & 80%
But given adult females is = 156800
=> 80%(8p/15) = 156800
=> 80 x 8p/15 x 100 = 156800
=> p = 156800 x 15 x 100/80 x 8
=> p = 367500
Therefore, the total population of the city = p = 367500
Correct Answer: 30
Correct Answer: 3:4
Explanation:
Again
and mn =60x
so,
=> m= 20 and n= 15
Hence,
Correct Answer: 48
Explanation:
If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.
Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.
Correct Answer: Rs. 175.5
Explanation:
Let the price of required variety = Rs. P/kg
Then, respective amounts were m kg, m kg and 2m kg
= 126m + 135m + 2pm = 153 x 4m
=> 2p = 351
p = 175.5 / kg
Correct Answer: 45 Years
Explanation:
The ratio of the ages of A and B is 3 : 5.
The ratio of the ages of B and C is 3 : 5.
B's age is the common link to both these ratio. Therefore, if we make the numerical value of the ratio of B's age in both the ratios same, then we can compare the ages of all 3 in a single ratio.
The can be done by getting the value of B in both ratios to be the LCM of 3 and 5 i.e., 15.
The first ratio between A and B will therefore be 9 : 15 and
the second ratio between B and C will be 15 : 25.
Now combining the two ratios, we get A : B : C = 9 : 15 : 25.
Let their ages be 9x, 15x and 25x.
Then, the sum of their ages will be 9x + 15x + 25x = 49x
The question states that the sum of their ages is 147.
i.e., 49x = 147 or x = 3.
Therefore, B's age = 15x = 15*3 = 45
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