Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

A18

B32

C24

D Cannot be determined

Nithin ? undefined

Correct answre is:  Cannot be determined

Explanation:

Let the numbers be x and y respectively . Then,

\(\Large \frac{3}{4}x = \text{= 60% of y}\)

\(= \Large \frac{3}{4}x = \frac{60}{100}y \implies \frac{3}{4}x = \frac{3}{5}y\)

\(=\Large y = \frac{3}{4} \times \frac{5}{3}x = \frac{5}{4}x\)

\(\therefore \Large y - x = \frac{5}{4}x-x = \frac{x}{4}\)

Clearly, no unique answer is possible.

View Answer

Discuss

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

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

View Answer

Discuss

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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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:

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

View Answer

Discuss

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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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.

View Answer

Discuss

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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

View Answer

Discuss

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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

View Answer

Discuss

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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

View Answer

Discuss