Sixty percent of the rats included in a particular experiment were fem

1.	Sixty percent of the rats included in a particular experiment were female rats. If some of the rats died during the experiment and 30% of rats died were male, what was the ratio of the death rate among the male rats to the death rate among the female rats?1. 3 : 42. 9 : 143. 9 : 164. 6 : 7
Answer» Correct Answer - Option 2 : 9 : 14 Given: Female rat in particular experiment = 60% Male rats in particular experiment = 40% Female rats died in experiment = 70% Male rats died in experiment = 30% Calculation: Let the number of rats be x The number of female rats = 60% of x = 0.6x Number of male rats = 40% of x = 0.4x Let the number of rats that died be y The number of female rats died = 70% of y = 0.7y Number of male rats died = 30% of y = 0.3y Death rate of male rats = \(\frac{0.3y}{0.4x}\) = \(\frac{3y}{4x}\) ----(I) Death rate of female rats = \(\frac{0.7y}{0.6x}\) = \(\frac{7y}{6x}\) ----(II) Equating (I) and (II) ⇒ \(\frac{3y}{4x}\) = \(\frac{7y}{6x}\) = 18xy : 28xy ∴ The ratio of the death rate of male to female rats is 9 : 14

Sixty percent of the rats included in a particular experiment were female rats. If some of the rats died during the experiment and 30% of rats died were male, what was the ratio of the death rate among the male rats to the death rate among the female rats?1. 3 : 42. 9 : 143. 9 : 164. 6 : 7

Answer» Correct Answer - Option 2 : 9 : 14

Given:

Female rat in particular experiment = 60%

Male rats in particular experiment = 40%

Female rats died in experiment = 70%

Male rats died in experiment = 30%

Calculation:

Let the number of rats be x

The number of female rats = 60% of x = 0.6x

Number of male rats = 40% of x = 0.4x

Let the number of rats that died be y

The number of female rats died = 70% of y = 0.7y

Number of male rats died = 30% of y = 0.3y

Death rate of male rats = \(\frac{0.3y}{0.4x}\) = \(\frac{3y}{4x}\) ----(I)

Death rate of female rats = \(\frac{0.7y}{0.6x}\) = \(\frac{7y}{6x}\) ----(II)

Equating (I) and (II)

⇒ \(\frac{3y}{4x}\) = \(\frac{7y}{6x}\) = 18xy : 28xy

∴ The ratio of the death rate of male to female rats is 9 : 14