Question

14. 80% of 65 – 70% of 70 = x% of 75. Find the value of x?​

Answer 1

Answer:

Here is your answer, x = 4

Answer 2

Given: $80\% \ of\ 65 - 70\% \ of\ 70 = x\ \% \ of\ 75.$

We have to find the value of$x$.

• As we know that a percentage is a fraction of an amount is expressed as a particular number of hundredths of that amount.
• It is denoted by a symbol(%).
• For example,$5 \%$ means$\frac{5}{100}$.
• By using the unitary method we are calculating the percentage of numbers.
• As we know fractions can be converted into percentages and vice-versa.
• And percentages are reversible.  
• For example, $50 \% of 60$ is the same as$60 \% of 50$.

We are solving in the following way:

We have,

$80\% \ of\ 65 - 70\% \ of\ 70 = x\ \% \ of\ 75.$

$\Rightarrow \frac{80}{100} \times65 -\frac{70}{100} \times70=\frac{x}{100} \times75\\\\\Rightarrow \frac{5200}{100} -\frac{4900}{100} =\frac{75x}{100} \\\\\Rightarrow 52-49=\frac{75x}{100} \\\\\Rightarrow 3=\frac{75x}{100} \\\\\Rightarrow 3\times100=75x\\\\\Rightarrow300=75x\\\\\Rightarrow x=\frac{300}{75} \\\\\Rightarrow x=4$

Hence, the value of $x$will be$4$.