Chhattisgarh Board Solutions for Chapter: Proportion, Exercise 1: Exercise 1

Verify whether the ratio of the first & second term is equal to the ratio of third & fourth term: $1:5$ and $6:30$

Verify whether the ratio of the first & second term is equal to the ratio of third & fourth term: $4:12$ and $18:54$

Verify whether the ratio of the first & second term is equal to the ratio of third & fourth term: $20:10$ and $30:15$

Two friends Hamida and Anu went to a market to buy kites. They bought $45$ kites for $₹15$. Anu gave $₹9$ and Hamida gave $₹6$. When they returned home, Anu divided the kites like this: She said, “Two kites for you and three kites for me.” Now say: In what ratio is Anu dividing the kites between Hamida and Anu?

Two friends Hamida and Anu went to a market to buy kites. They bought $45$ kites for $₹15$. Anu gave $₹9$ and Hamida gave $₹6$. When they returned home, Anu divided the kites like this: She said, “Two kites for you and three kites for me.” Now say: 

Hamida thought Anu is not dividing the kites rightly. We must get the equal number of kites but Anu said that we have paid for the kite in the ratio $6:9$ or $2:3$, so out of $5$ kites $2$ kites will be yours & $3$ will be mine. The total number of kites are $45$. So, $2\times 9=18$ kites will be yours and $3\times 9=27$ kites will be mine.
Is Anu justified? Give reasons for your answer.