Simplification-Test 7 (Based on Simplification of Percentages)

Answer: Option C

Explanation

In this question we can simplify this as,

(9.11% of 936) - (12.5% of 498) = ?

It can also be written as,

$\begin{array}{l}\Rightarrow (\frac{9.11}{100}\times 936)-(\frac{12.5}{100}\times 498)=?\\ \\ \Rightarrow \text{ (9.11}\times \text{9.36)}-\text{(12.5}\times \text{4.98) = ?}\\ \\ \Rightarrow \text{ (852696)}-\text{(62 .25) = ?}\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}23.0196 =?}\end{array}$

Hence, Option C is correct.

Answer: Option D

Explanation

$\begin{array}{l}\text{Here, it can be written as}\\ \Rightarrow \frac{185}{100}\times 400+\frac{35}{100}\times 240=?\%\text{\hspace{0.17em}\hspace{0.17em}of 1648}\\ \\ \left[\text{put ?=x}\right]\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}185}\times \text{4 + 35}\times \text{2.4 = }x\text{\hspace{0.17em}\% of 1648}\\ \\ \Rightarrow \text{740 + 71.40 =}\frac{x}{100}\times 1648\\ \\ \Rightarrow \text{811.40 =}\frac{x}{100}\times 1648\\ \\ \Rightarrow x=\frac{81140}{1648}\\ \\ \Rightarrow \text{ 49235 =50}\end{array}$

Hence, Option D is correct.

Answer: Option B

Explanation

$$\begin{gathered} \begin{array}{l}\text{Here,}\\ \text{?\% of 762 + 44\% of 568 = 52424}\\ \\ \text{ it can also be written as}\\ \\ \text{Now},\\ \Rightarrow x\%\text{\hspace{0.17em}of }762+44\times 5.68=\text{52424 }\\ \end{array} \\ [ put ? =x] \\ \begin{array}{l}\Rightarrow \frac{x}{100}\times 762+44\times 5.68=\text{52424}\\ \\ \Rightarrow \text{7.62}x\text{ = 52424}-\text{249.92}\\ \\ \Rightarrow \text{7 .62}x\text{ = 274.32}\\ \\ \Rightarrow x=\frac{274.32}{7.62}=36\\ \\ \Rightarrow x=36\end{array} \end{gathered}$$

Hence, Option B is correct.

Answer: Option B

Explanation

$\begin{array}{l}\text{From the above question,}\\ \text{we can simplify it as}\\ \\ \Rightarrow \frac{24.8}{100}\times 1338-\frac{15.5}{100}\times 945=?\\ \\ \Rightarrow \frac{24.8}{100}\times 1338-\frac{15.5}{100}\times 945=?\\ \\ \Rightarrow \text{331.824}-\text{146.475 =?}\\ \\ \Rightarrow \text{185.349}\end{array}$

Hence, option B is correct.

Answer: Option B

Explanation

$\begin{array}{l}Given that,\\ \Rightarrow \text{?\% of 762 + 44\% of 568 = 524.24}\\ \\ \text{It can also be written as}\\ \\ \Rightarrow x\text{\hspace{0.17em}\% of 762 +}\frac{44}{100}\times 568=524.24\\ \\ \text{[putting }x\text{ at the place of ?]}\\ \\ \Rightarrow \frac{x}{100}\times 762+44\times 5.68=524.24\\ \\ \Rightarrow x\times \text{7.62 = 524.24}-\text{44}\times \text{5.68}\\ \\ \Rightarrow \text{7.62}x\text{ = 524.24}-\text{249.92}\\ \\ \Rightarrow x=\frac{274.32}{7.62}=36\end{array}$

Hence, Option B is correct.