The present age of A, B, C are in the ratio 8:14:22 respectively.the present ages of B, C and D are in the ratio 21:33:44 respectively. Which of the following represents the ratio of he present ages of A, B, C and D respectively

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INSURANCE EXAMS (LIC) 2008 click here to view all questions

The present age of A, B, C are in the ratio 8:14:22 respectively.the present ages of B, C and D are in the ratio 21:33:44 respectively. Which of the following represents the ratio of he present ages of A, B, C and D respectively

A12:22:33:44

B12:22:31:44

C12:21:33:44

DNone of the these

Nithin ? undefined

Correct answer is: 12:21:33:44

Explanation:

A : B : C = 8 : 14 : 22
or 4 : 7 : 11
or 12 : 21 : 33
B : C : D = 21 : 33 : 44
Therefore, A : B : C : D
= 12 : 21 : 33 : 44

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The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

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INSURANCE EXAMS (LIC) 2006 click here to view all questions

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A3 : 3 : 10

B10 : 11 : 20

C23 : 33 : 60

DCannot be determined

Nithin ? undefined

Correct answer is: 23 : 33 : 60

Explanation:

\(\eqalign{ & {\text{Let}}, \cr & A = 2k \cr & B = 3k\,{\text{and}} \cr & C\, = 5k \cr & A's\,{\text{new}}\,{\text{salary}} \cr & = \frac{{115}}{{100}}\,of\,2k = {\frac{{115}}{{100}} \times 2k} = \frac{{23k}}{{10}} \cr & B's\,{\text{new}}\,{\text{salary}} \cr & = \frac{{110}}{{100}}\,of\,3k = {\frac{{110}}{{100}} \times 3k} = \frac{{33k}}{{10}} \cr & C's\,{\text{new}}\,{\text{salary}} \cr & = \frac{{120}}{{100}}\,of\,5k = {\frac{{120}}{{100}} \times 5k} = 6k \cr & \therefore {\text{New}}\,{\text{ratio}} \cr & = {\frac{{23k}}{{10}}:\frac{{33k}}{{10}}:6k} \cr & = 23:33:60 \cr} \)

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The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?

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INSURANCE EXAMS (LIC) 2006 click here to view all questions

The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?

ARs 26,000

BRs 28, 000

CRs 21,000

DData inadequate

Nithin ? undefined

Correct answer is: Data inadequate

Explanation:

The ratio of the earnings of A and BB is 4:7

Let Earnings of A=4k

Earnings of B=7k

Earnings of A now becomes 4k+\(\frac{1}{2}​\)×4k=4k+2k=6k

Earnings of B now becomes 7k−\(\frac{1}{4}\)​×7k=\(\frac{3}{4}\)​×7k=\(\frac{21k​}{4}\)

Now ratio of earnings are \(\frac{6}{\frac{21}{4}}\)​=\(\frac{24}{21}\)​=\(\frac{8}{7}\)

Hence the Data is Inadequate.

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The number of employees shed through voluntary retirement in company A was 23,000 and that in company B was 6325. What is the ratio of employees retired voluntarily from company A to that retired from company B?

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INSURANCE EXAMS (UIIC) 2002 click here to view all questions

The number of employees shed through voluntary retirement in company A was 23,000 and that in company B was 6325. What is the ratio of employees retired voluntarily from company A to that retired from company B?

A40 : 11

B 10 : 11

C 11 : 10

D11 : 40

Nithin ? undefined

Correct answer is: 40 : 11

Explanation:

Required ratio

\(= \Large \frac{23000}{6325}=\frac{40}{11}\) or 40 : 11

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In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?

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BANK PO Exam (RBI) 2011 click here to view all questions

In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?

A75

B90

C60

D85

Nithin ? undefined

Correct answer is: 85

Explanation:

Let the number of boys initially = 31x

=> Number of girls = 23x

Acc to ques,

\(= \frac{31x}{23x + 75} = \frac{124}{107}\)

= 3317x = 2852x + 9300

= 3317x - 2852x = 465x = 9300

\(x = \frac{9300}{465} = 20\)

=> Number of boys =  \(31 \times 20 = 620\)

Number of girls = \(23 \times 20 + 75 = 535\)

\(\therefore \) Number of girls who should join the college to make number of boys and girls equal

= 620 - 535

= 85

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Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16 : 9 respectively. What are A's earnings?

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BANK PO Exam (RBI) 2008 click here to view all questions

Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16 : 9 respectively. What are A's earnings?

ARs. 22000

BRs. 28500

CRs. 37000

DCannot be determine

Nithin ? undefined

Correct answer is: Cannot be determine

Explanation:

Let the earnings of A and B Rs. 8x and Rs. 9x respectively.
Then,

\(\eqalign{ & = \frac{{150\% {\text{ of }}8x}}{{75\% {\text{ of }}9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{\frac{3}{2} \times 8x}}{{\frac{3}{4} \times 9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{16}}{9} = \frac{{16}}{9} \cr} \)

Hence, A's earnings cannot be determined

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The age of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their age will be 11 : 18. What is the difference (in years) between their age?

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BANK PO Exam (RBI) 2007 click here to view all questions

The age of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their age will be 11 : 18. What is the difference (in years) between their age?

A24 years

B20 years

C33 years

D21 years

Nithin ? undefined

Correct answer is: 21 years

Explanation:

Let the present age of Samir and Tanuj be 8x and 15x years respectively.
According to the question,

After 9 years, \(\Large \frac{8x+9}{15x+9}=\frac{11}{18}\)

=> 165x + 99
=> 144x + 162
=> 165x - 144x = 162 - 99
=> 21x = 63
Therefore, Samir's present age
= 8x = 24 years
Therefore, Tanuj's present age
= 15x = 45 years
Therefore, Required difference
= 45 - 24

= 21 years

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