Two numbers are respectively 20 and 50 more than a third. what percentage is the first of the second

Two numbers are respectively 20 percent and 50 percent of a third number. What percent is the second of the first?

Let the third number be 100∴ The first number = 20% of 100= `(20)/(100) xx 100` = 20and the second number = 50% of 100= `(50)/(100) xx 100`= 50∴ The second no. as the present of the first= `(50)/(20)xx 100%`

= 250%

Concept: Concept of Percent and Percentage

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Two numbers are respectively 30 percent and 40 percent less than a third number. What percent is the second of the first?

Let the third number = x
∴ First number = `x - (30x)/(100)`

= `(100x - 30x)/(100)`

= `(70x)/(100)`

= `(7x)/(10)`

Second number = `x - (40x)/(100)`

= `(100x -40x)/(100)`

= `(60x)/(100)`

= `(6x)/(10)`

∴ Required % = `((6x)/(10))/((7x)/(10))xx 100`

 = `(6x)/(10) xx (10)/(7x) xx 100`

= `(600)/(7)`

= 85`(5)/(7)%`

Concept: Concept of Percent and Percentage

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Two numbers are respectively 20%, 50% more than a third number. The ratio of the two numbers is .

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Two numbers are respectively 20 percent and 50 percent more than a third number. What percent is the second of the first ?

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Correct Answer:

Description for Correct answer:

3rd number = 100

2nd number = 150

1st number = 120 Required percentage

= \( \Large \frac{150}{120} \times 100\% \) = 125%.

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