(i) A woman reduces her weight in the ratio 7: 5. What does her weight become if originally it was 91 kg. (ii) A school collected Rs 2100 for charity. It was decided to divide the money between an orphanage and a blind school in the ratio of 3: 4. How much money did each receive?

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Question no.15, From ML aggarwal book, class10, chapter 7, ratio and proportion

In these questions we have been given a total sum and we have to divide the sum according the given ratio..

Solution:(i) Ratio of original and reduced weight of woman = 7: 5

Consider original weight = 7x

Reduced weight = 5x

Here original weight = 91 kg

So the reduced weight = (91 Ã— 5x)/ 7x = 65 kg

(ii) Amount collected for charity = Rs 2100

Here the ratio between orphanage and a blind school = 3: 4

Sum of ratios = 3 + 4 = 7

We know that

Orphanage schools share = 2100 Ã— 3/7 = Rs 900

Blind schools share = 2100 Ã— 4/7 = Rs 1200