What sum of money is to be divided among 3 men in the ratio 3 : 4 : 5 so that the third man receives rs 10 only?
Answers
Concept:
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc.
Given:
Sum of money is to be divided among 3 men in the ratio 3 : 4 : 5
Find:
What sum of money is to be divided among 3 men in the ratio 3 : 4 : 5 so that the third man receives rs 10 only?
Solution:
Let the original amount be x
A:B:C =3:4:5
Sum of 3,4,5=3+4+5=12
Money is divided as 3x/12 ,4x/12 and 5x/12
As per question,
5x/12=10
⇒x=10 X 12/ 5
=Rs 24
Therefore, 24 rupees is to be divided into 3:4:5
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