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In a story book the number of Black & White images and coloured images are in the ratio of 4 ∶ 7. If the number of Black & White images are increased by 25% and the number of colored images are increased by 15%. What will be the new ratio of number of Black & White images to that of coloured images?

In a story book the number of Black & White images and coloured images are in the ratio of 4 ∶ 7. If the number of Black & White images are increased by 25% and the number of colored images are increased by 15%. What will be the new ratio of number of Black & White images to that of coloured images? Correct Answer 100 ∶ 161

Given:

The ratio of Black & White images and colored images = 4 ∶ 7

The number of Black & White images are increased by = 25%

The number of colored images is increased by = 15%.

Calculation:

Let the number of Black & White images and coloured images is ‘4x’ and ‘7x’ respectively.

Number of Black & White images after increment = 125% of 4x 

Number of coloured images after increment = 115% of 7x 

New ratio = 125% × 4x ∶ 115% × 7x 

∴ Required ratio =  25 × 4 ∶ 23 × 7 = 100 : 161

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