Simplification-Test 7 (Based on Simplification of Percentages)

Answer: Option C

Explanation

$\begin{array}{l}\text{Here,\hspace{0.17em}}\\ \Rightarrow \text{160\% of 250 +? = 120\%of 400}\\ \\ \Rightarrow \text{\hspace{0.17em}? = 120\% of 400}-\text{160\% of 250}\\ \\ \Rightarrow \frac{\text{120}}{100}\times \text{400}-\frac{160}{100}\times 250\\ \\ \Rightarrow \text{120}\times \text{4}-\text{16}\times \text{25}\\ \\ \Rightarrow \text{ 480}-\text{400 = 80}\end{array}$

Hence, Option C is correct.

Answer: Option B

Explanation

Here,

⇒ 18.5% of 220 + 12.4% 680= ?

It can also be written as,

$\begin{array}{l}\Rightarrow \frac{\text{18.5}}{100}\times 2.2+\frac{12.4}{100}\times 6.8=?\\ \\ \Rightarrow \text{18.5}\times \text{2.2 +12.4}\times \text{6.8 =?}\\ \\ \Rightarrow \text{ 40.7 + 84.32 = ? }\\ \\ \Rightarrow \text{ 125.02}\end{array}$

Hence, Option B is correct.

Answer: Option A

Explanation

Here, 

⇒ 2.8×1.5+ 8% of 250= ?

It can aslo be written as,

$\begin{array}{l}\Rightarrow \text{2.8}\times \text{1.5 + }\frac{\text{8}}{100}\times 250\\ \\ \Rightarrow 2.8\times 1.5+8\times 2.5[\because \frac{250}{100}=2.5]\\ \\ \Rightarrow 4.2+20=24.2\end{array}$

Hence, Option A is correct.

Answer: Option C

Explanation

$\begin{array}{l}\text{Here,}\\ \Rightarrow \text{? \% of 555 +28\%of 444 = 202.02}\\ \\ \text{It can also be written as}\\ \\ \Rightarrow \frac{x}{100}\times 555+\frac{28}{100}\times 444=202.02\\ \\ \Rightarrow 5.55x+28\times 4.44=202.02\\ \\ \Rightarrow \text{5.55}x\text{ = 202.02 -124.32}\\ \\ \Rightarrow \text{5.55}x\text{ = 77.7}\\ \\ \Rightarrow x=\frac{\text{77.7}}{5.55}\text{ =14}\end{array}$

Hence, Option C is correct.

Answer: Option A

Explanation

$\begin{array}{l}\text{Here, }\\ \Rightarrow \text{(825\% of 330)}÷\text{507 = ?}\\ \\ \text{It can also be written as}\\ \\ \Rightarrow (\frac{825}{100}\times 330)÷507=?\\ \end{array}$

By applying the VBODMAS

We get,

$\begin{array}{l}\Rightarrow \text{825}\times \text{3.30}÷\text{507 = ?}\\ \\ \Rightarrow \text{? = }\frac{\text{825}\times \text{3.30}}{507}=\frac{2722.5}{507}=5.36\end{array}$

Hence, Option A is correct.