The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

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The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

A64 yrs

B51 yrs

C48 yrs

DCannot be determined

Nithin ? Aug 14 '2022 at 15:52

Correct answer is: 51 yrs

Explanation:

Let the present age of father and son be 17x years and 7x years respectively.

According to the question,

\(\Large \frac{17x-6}{7x-6}=\frac{3}{1}\)
\(\implies 21x - 18 = 17x - 6\)
\(\implies 21x - 17x = 18 - 6\)

\(\implies 4x = 12\)

\(=> x = \frac{12}{4} = 3\)

\(\text{Therefore, Father's present age} = 17×3 = 51 \text{ years}\)

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Karan starts a business by investing Rs.60,000. six months later Shirish joins him by investing Rs. 1,00,000. At the end of one year from commencement of the business,they eam a profit of Rs. 1,51,800. What is the Shirish’s share in the profit ?

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Karan starts a business by investing Rs.60,000. six months later Shirish joins him by investing Rs. 1,00,000. At the end of one year from commencement of the business,they eam a profit of Rs. 1,51,800. What is the Shirish’s share in the profit ?

ARs. 55200

BRs. 82800

CRs. 69000

DRs. 96600

Akilesh Kharvi ? Jun 7 '2017 at 20:16

Answer is : Rs. 69000

Explanation:

Ratio of the proflt = Ratio of theequivalent capitals of Karan and Shirish

= 60000 × 12 : 100000 × 6= 720000 : 600000  = 6 : 5

Shirish’s share in the profit

= Rs. \(\Big(\frac{5}{11}\times151800\Big)\) = Rs. 69000

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