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To read also the postings on Sarin learns the concept of Fraction (mathematics concept) and Sarin learns concept of ratio in school to understand the concept of Fraction and Ratio.
You can read the posting on Sarin learns Average Number, Percentage and Charting in school (Math Concept) to understand about Percentage.
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Upper primary school mathematics question UPQ293
There was a group of guests in Sarin’s house during the Hari Raya open house. The ratio of the number of friends to the number of relatives was 3 : 5. After a group of relatives joined the open house, the number of friends became 3/10 the new total number of guesta. What was the percentage increase in the number of relatives?
At the end, the number of friends is 3/10 fraction of the number of guests
In ratio, Friends to Relatives = 3 : 7
Draw the ratio model
There are relatives joined them but not any more friends joined in
The initial number of relatives is 5 units
The number of relatives joined is 10 – 5 – 3 = 2 units
The percentage increase in the number of relatives = 2/5 × 100% = 40%