(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?
(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?

(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 = \[~\left( 91\text{ }\times \text{ }5x \right)/\text{ }7x\text{ }=\text{ }65\text{ }kg\]

(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 = \[2100\text{ }\times \text{ }3/7\text{ }=\text{ }Rs\text{ }900\]

Blind schools share = \[2100\text{ }\times \text{ }4/7\text{ }=\text{ }Rs\text{ }1200\]