# Percentage questions

Are you having trouble converting percentages and looking to improve your quantitative aptitude skills? We are here to help you by providing several percentage aptitude questions! The question paper collections are prepared based on the latest exam syllabus and pattern. Candidates can practice these materials, which cover a wide range of topics, from basic percentage calculations to more complex concepts like profit and loss, discounts, and compound interest. Start practicing Now!

1. The number that is to be added to $10\%$ of $320$ to have the sum as $30\%$ of $230$ is

Let the number be $x$ .
According to the question,
10% of 320 + x = 30% of 230
⇒ $\frac{10}{100} × 320 + x = \frac{30}{100} × 230$

⇒ $32 + x = 69$
⇒ $x = 69 – 32 = 37$

1. If 50% of (x-y) = 30% of (x+y),then what percent of x is y ?

$50\%of(x-y)=30\%of(x+y)$,

$5\times(x-y)=3\times(x+y)$

$5\times x-5\times y=3\times x+3\times y$

$2\times x=8\times y$, $y=\frac{x}{4}$

Required percentage= $(\frac{y}{x}\times100)\%$

$(\frac{x}{4}\times\frac{1}{x}\times100)\%=25\%$

1. $8\frac{1}{3}$ % of a number is 100. What is $33\frac{1}{3}$ % of that number?

• Let X be the number.
• $8\frac{1}{3}$ % $\times$ X = 100
• $\frac{25}{3}$ $\times$$\frac{1}{100}$$\times$ X = 100
• X = 1200
• Now $33\frac{1}{3}$% $\times$ 1200 = ?
• $\frac{100}{3}$ $\times$ $\frac{1}{100}$ $\times$ 1200 = 400.
1. What percent of 15 hours is 18 seconds ?

$x \%$ of 15 hours $=18$ seconds $\Rightarrow x \%$ of $15 \times 60 \times 60$ seconds

$=18$ seconds

$\Rightarrow \frac{15 \times 60 \times 60 \times x}{100}=18$

$\Rightarrow x=\frac{18}{15 \times 6 \times 6}=\frac{1}{30} \%$

1. A’s income is 10% more than B's income. By how much percent is B’s income less than that of A?

Short trick:

Let the income of B = 100

Income of A = 110

Percentage less= $(110-100)×\frac{100}{110}$

= $\frac{100}{11}$ %

Basic Method:

Let’s say B’s income is 100 %

Hence A’s income will be 10% less than B’s income

Hence it is $\frac{10}{110} \times 100$ %