The respective ratio of the present age of Swati and Trupti is 4 : 5. Six years hence the respective ratio of their age will be 6 : 7. What is the difference between their age?

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

The respective ratio of the present age of Swati and Trupti is 4 : 5. Six years hence the respective ratio of their age will be 6 : 7. What is the difference between their age?

A2 years

B3 years

C4 years

DCannot be determined

Nithin ? Aug 15 '2022 at 12:3

Correct answer is: 3 years

Explanation:

Let Swati's present age = 4x years
'I'rupti's present age = 5x years

\(\Large \frac{4x+6}{5x+6}=\frac{6}{7}\)

\(\implies 30x + 36 = 28x + 42\)

\(\implies 2x = 42 - 36 = 6\)

\(\implies x = 3 = \text{difference of their age}\)

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The ratio of the present age of Meena and Fiona is 16 : 13 respectively. Four years ago the respective ratio of their age was 14 : 11. What will be Fiona's age four years from now?

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BANK PO Exam (United Bank of India) 2010 click here to view all questions

The ratio of the present age of Meena and Fiona is 16 : 13 respectively. Four years ago the respective ratio of their age was 14 : 11. What will be Fiona's age four years from now?

A8 years

B32 years

C26 years

DNone of these

Nithin ? Aug 15 '2022 at 8:38

Correct answer is: None of these

Explanation:

Let the present age of Meena and Fiona be 16x and 13xyears respectively.
According to the question,

\(\implies \Large \frac{16x-4}{13x-4}=\frac{14}{11}\)

\(\implies 176x - 44 = 182x - 56\)

\(\implies 182x - 176x = 56 - 44\)

\(\implies 6x =12 => x = \frac{12}{6} = 2\)

Therefore, Fiona's age after four years = 13x + 4

\(= 13×2+4 = 30 \text{ years}\)

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Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years?

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BANK PO Exam (Punjab And Sind Bank) 2010 click here to view all questions

Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years?

A12 years

B7 years

C21 years

DNone of these

Nithin ? Aug 15 '2022 at 8:24

Correct answer is: None of these

Explanation:

Let Radha's present age = x years.

Therefore, \(x = 2 \left(x-12\right)-3\)

\(\implies x = 2x - 24 - 3 \implies x = 27\)

Therefore, Raj's present age = \(\Large \frac{4}{9} \times 27\) = 12 years

Therefore, Raj's age after 5 years = 12 + 5 = 17 years

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The ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?

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

The ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?

A3 : 4

B5 : 4

C4 : 3

DCannot be determined

Nithin ? Aug 15 '2022 at 7:37

Correct answer is: Cannot be determined

Explanation:

Let the present age of father and son be 5x and 2x years respectively.

After 4 years,

and mother's age = 2y years

Now, y = 2x + 4 => x = \(\Large \frac{y-4}{2}\)

Therefore, Father's present age = \(\Large 5\frac{ \left(y-4\right) }{2}\) years

 

Mother's present age = (2y - 4) years

Clearly, data are inadequate.

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The present age of Vishal and Shekhar are in the ratio of 14 : 17 respectively. Six years from now, their age will be in the ratio of 17 : 20 respectively. What is Shekhar's present age?

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The present age of Vishal and Shekhar are in the ratio of 14 : 17 respectively. Six years from now, their age will be in the ratio of 17 : 20 respectively. What is Shekhar's present age?

A7 years

B51 years

C34 years

D28 years

Nithin ? Aug 14 '2022 at 21:31

Correct answer is: 34 years

Explanation:

Let the present age of Vishal and Shekhar be14x and 17x years respectively.

After 6 years,
\(\Large \frac{14x+6}{17x+6}=\frac{17}{20}\)

\(\implies 280x + 120\)

\(\implies 289x + 102 = 9x = 18\)

\(\implies x = \frac{18}{9} = 2\)

Shekar's present age

\(=\Large 17 \times 2\)

= 34 years

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The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?

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

The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?

A25 years

B20 years

C30 years

D24 years

Nithin ? Aug 14 '2022 at 21:22

Correct answer is: 20 years

Explanation:

Let the present age of Tina and Rakesh be 9x and 10x years respectively.

10 years ago.

\(=\Large \frac{9x-10}{10x-10}=\frac{4}{5}\)

\(\implies 45x - 50 = 40x - 40\)

\(\implies 5x = 10 \implies x = \frac{10}{5} = 2\)

Therefore, Rakesh's present age = 10x

\(=\Large 10 \times 2 = 20 \text{ years}\)

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Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

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BANK PO Exam (Corporation Bank) 2009 click here to view all questions

Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

A15 yr

B20 yr

C16 yr

D24 yr

Nithin ? Aug 14 '2022 at 21:12

Correct answer: 16 yr

Explanation:

4 yr ago, let Ram's age = x yr and Shyam's age = \(\frac{3}{4}x\) yr

 

Now, Ram's present age = (x + 4) yr and Shyam's present age = (\(\frac{3}{4}x\)+4) yr
According to the question,
\(\large\frac{5}{6}(x + 4 + 4) = \left(\frac{3}{4}x + 4 + 4\right)\)

4 (5x + 40) = 6(3x + 32)

20x + 160 = 18x + 192

2x = 32

x = 16

Hence, present age of Shyam

\(= \large\frac{3}{4}\times 16 + 4\)

\(=16 \text{ yr}\)

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