Question

The ratio of Fatima’s income to her savings is $4:1$. The percentage of money saved by her is

• A. $20\%$
• B. $25\%$
• C. $+$$40\%$
• D. $80\%$

Answer 1

The correct option is A

$20\%$

Step 1: Percentage

1. A percentage is a number or ratio that can be expressed as a fraction of $100$.
2. It is represented by the symbol “$\%$”.
3. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by $100$.

Percentage formula = (Value/Total value) $\times 100$

Step 2: Explanation for correct option

Option (A): $20\%$

Let's assume,

Fatima’s income $=4y$

Fathima’s savings $=1y$

The ratio if Fatima’s income to her savings $=4y:1y$

Then, the percentage of money saved by her is $=$ (her savings$/$(income savings)) $\times 100$

$\Rightarrow$Percentage of money saved $=\left(\frac{1y}{4y+y}\right)\times 100$

$\Rightarrow$Percentage of money saved $=\frac{100}{5}$

$\Rightarrow$Percentage of money saved $=20\%$

There, the percentage of money saved by her is $20\%$.

Therefore, option (A) is the correct answer.

Step 2: Explanation for incorrect option

Option (B): $25\%$

Option (C): $40\%$

Option (D): $80\%$

Thus, by calculating the percentage of money saved by her, we get $20\%$.

Therefore, option (B), C) and (D) are incorrect answers.

Hence, option (A) is the correct answer.