हिंदी

Find the number which bears the same ratio to 733 that 821 does to 49. - Mathematics

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प्रश्न

Find the number which bears the same ratio to `7/33` that `8/21` does to `4/9`.

योग

उत्तर

Let the required number be `x/y`

Now, ratio of `8/21` to `4/9`

= `(8/21)/(4/9)`

= `8/21 xx 9/4`

= `6/7`

Thus, we have

`(x/y)/(7/33) = 6/7`

`=> x/y = (6/7)/(7/33)`

`=> x/y = 6/7 xx 7/33`

`=> x/y = 2/11`

Hence, the required number is `2/11`.

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