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16 vote

200 is divided into two parts in such a way that the sixth part of the first and the half part of the second are in the ratio 1 ∶ 1. What will be the value of the second part?

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200 is divided into two parts in such a way that the sixth part of the first and the half part of the second are in the ratio 1 ∶ 1. What will be the value of the second part?
1). 150
2). 125
3). 75
4). 50


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1 answers

10 vote
Answered by on | Votes 10 |

Let the two parts be x and y.

$(\Rightarrow \frac{{\frac{x}{6}}}{{\frac{y}{2}}} = \frac{1}{1})$

$(\Rightarrow \frac{x}{{3y}} = \frac{1}{1})$

$(\Rightarrow \frac{x}{y} = \frac{3}{1})$

Now,

⇒ x + y = 200

Let x = 3a and y = a

⇒ 3a + a = 200

⇒ a = 50

The value of second part = y = 50
Accepted Answer

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