What is the ratio between the number of chocolates Sana has and the number of chocolates Rabia has, if Rabia has 50% more than Hiba and Sana has 20% more than Hiba?
To find the ratio between the number of chocolates Sana has and the number of chocolates Rabia has, we need to follow these steps:
1. Let's start by considering the number of chocolates Hiba has as "x". This will serve as our base value.
2. According to the given information, Rabia has 50% more chocolates than Hiba. To calculate the number of chocolates Rabia has, we'll add 50% of x to x.
Rabia's chocolates = x + 50% of x
= x + (50/100) * x
= x + 0.5 * x
= 1.5 * x
3. Similarly, Sana has 20% more chocolates than Hiba. To calculate the number of chocolates Sana has, we'll add 20% of x to x.
Sana's chocolates = x + 20% of x
= x + (20/100) * x
= x + 0.2 * x
= 1.2 * x
4. Now, we can express the ratio between the number of chocolates Sana has and the number of chocolates Rabia has.
Ratio = Sana's chocolates : Rabia's chocolates
= (1.2 * x) : (1.5 * x)
= 1.2 : 1.5
Therefore, the ratio between the number of chocolates Sana has and the number of chocolates Rabia has is 1.2 : 1.5.