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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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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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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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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Mr. X invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debit and Equity funds respectively. If the amount reinvested in Equity funds in second case was Rs 94,500, what was the original amount invested in Equity funds?

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Mr. X invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debit and Equity funds respectively. If the amount reinvested in Equity funds in second case was Rs 94,500, what was the original amount invested in Equity funds?

ARs.75000

BRs.81005

CRs.60000

DRs.65007

Nithin ? undefined

Correct answer is: Rs.75000

Explanation:

Debt = 400X
Equity = 500X
Total = 900X
Earning = 30% of 900X = 270X
Total amount of money reinvested = 1170X
Debt = 6/13*1170X = 540X
Equity = 7/13 * 1170X = 630X
630X = 94500
500X = 500/630 * 94500 = 75000

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The respective ratio of the present ages of a mother and daughter is 7 : 1. Four years ago the respective ratio of their ages was 19:1. What will be the mother's age four years from now ?

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The respective ratio of the present ages of a mother and daughter is 7 : 1. Four years ago the respective ratio of their ages was 19:1. What will be the mother's age four years from now ?

A42 years

B38 years

C46 years

D36 years

Nithin ? undefined

Correct answer is: 46 years

Explanation:

Let the present ages of mother and daughter be x and y respectively.

\(\frac{y}{x}=\frac{1}{7} \implies x= 7y\)

\(\frac{y-4}{x-4} = \frac{1}{19} \implies 19y - 76 = x - 4 \implies x = 19y - 72 \)

\(\implies 7y = 19y - 72 \implies y = \text{6 and x }= 42\)

Age of mother 4 years from now = 42 + 4 = 46

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The age or Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their age will be 3 : 4. What is the difference in their age?

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The age or Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their age will be 3 : 4. What is the difference in their age?

A16 years

B8 years

C10 years

DNone of these

Nithin ? undefined

Correct answer is: None of these

Explanation:

Let the present age of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,

\(\frac{5x+8}{8x+8}=\frac{3}{4}\)

=> 24x + 24 = 20x + 32
=> 4x = 32 - 24 = 8

=> x = 8×4 = 2

Requtred difference = (8x - 5x) years = 3x

= 3×2 

= 6 years

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A sum of money is divided among A, B, C and D in the ratio of 3 : 5 : 9 : 13 respectively. If the share of C is Rs.2412 more than the share of A, then what is the total amount of money of B and D together?

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A sum of money is divided among A, B, C and D in the ratio of 3 : 5 : 9 : 13 respectively. If the share of C is Rs.2412 more than the share of A, then what is the total amount of money of B and D together?

ARs.4,422

BRs.7,236

CRs.6,030

DRs.4,824

Nithin ? undefined

Correct answer is: Rs.7,236

Explanation:

Let the original sum be Rs. x.
Sum of the Ratios = 3 + 5 + 9 + 13 = 30

Therefore, C's share = \(\frac{9x}{30}=\frac{3x}{10}\)

A's Share = \(\frac{3x}{30}=\frac{x}{10}\)

According to the question,

\(= \frac{3x}{10} - \frac{x}{10} = 2412\)

\(x = 2412 \times 5 = \text{ Rs. 12060}\)

Thererfore, Amount received by B and D together
\(= \frac{ \left(5+13\right) }{30} \times 12060\)

= Rs.7236

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