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

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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BANK PO Exam (SBI) 2010 click here to view all questions

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

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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Present age of Seema and Naresh are in the respective ratio of 5:7. Five years hence the ratio of their age becomes 3 : 4 respectively. What is Naresh's present age (in years)?

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Present age of Seema and Naresh are in the respective ratio of 5:7. Five years hence the ratio of their age becomes 3 : 4 respectively. What is Naresh's present age (in years)?

A25

B40

C30

DNone of these

Nithin ? undefined

Correct answre is: None of these

Explanation:

Let the present age of Seema and Naresh be 5x and 7x years respectively.
According to the question,

\(\frac{5x+5}{7x+5}=\frac{3}{4}\)

=> 21x + 15 = 20x + 20
=> x = 20 - 15 = 5

Therefore, Naresh's present age

= 7x years = 7×5 = 35 years

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