Preparing for the Navodaya Exam requires a solid understanding of various mathematical concepts, and one such important topic is percentages. In this article “Percentage questions for Navodaya exam” different types of percentage questions that often appear in the Navodaya Exam are given. By familiarizing yourself with these question patterns and practicing our sample problems, you can gain the necessary skills and boost your overall performance in the exam.

we begins by the fundamentals of percentages, explaining how to calculate them, convert them into fractions and decimals, and apply them in various real-life scenarios. We’ll provide step-by-step explanations and examples with clarity. Furthermore, we explore the different types of percentage questions commonly encountered in the Navodaya exam, including percentage increase or decrease, profit and loss, discounts, and more.

Percentage questions for Navodaya exam (Solved Examples)

(i) 120% is equal to …………………
Sol. 120 % = $\frac{120}{100}$ = 1.2

(ii) Express each of the following statements in the percentage form :
(a) 13 out of 20
(b) 21 out of 30
Solution: (a) $\frac{13}{20}\times 100= 13 \times 5= 65$

%
(b) $\frac{21}{30}\times 100=\frac{21}{3}\times 10=7\times 10=70$ %

(iii) Express the following fractions as percent :
(a) $\frac{2}{300}$

(b) $\frac{65}{80}$

Sol. (a) $\frac{2}{300}\times 100= \frac{2}{3}=0.67%$

(b) $\frac{65}{80}\times 100= \frac{650}{8}=81.25$ %

(iv) Convert each of the following decimals into a percentage.
(a) 0.08
(b) 0.75
Solution: (a) 0.08 = (0.08 x 100)% = 8%
(b) 0.75= 0.75 x100 % = 75%

(v) Find :
(a) 8% of 160km
(b)6% of 225
Solution: (a) 8% of 160km = $\mathrm{\frac{8}{100} \, of\, 160km =\frac{8}{100} \times 160km = \frac{64}{5}km = 12.8km}$

(b) 6% of 225 = $\frac{6}{100}\times 225= \frac{27}{2}= 13.50$

(vi) What % of 85 is 17 ?.
Solution : Let x% of 85 is 17 . Then $\frac{x}{100}\times 85=17$

$\Rightarrow 85x = 1700$
$\Rightarrow x= \frac{1700}{85}$

$\Rightarrow x= 20%$

(vii) …………. % of 360 +15% of 820= 231. Find the missing number .
Solution : Let the missing number be x. Then x% of 360 +15% of 820= 231
$\Rightarrow \frac{x}{100}\times 360 + \frac{15}{100}\times 820 = 231$

$\Rightarrow 3.6x + 123 =231$
$\Rightarrow 3.6 x= 231-123 =108$

$\Rightarrow x= \frac{108}{3.6}= 30$
Hence the missing number is 30

(viii) (100% of ₹6) + ₹6 + (6% of ₹100) = ₹ ……..
Solution. (100% of ₹6) + ₹6 + (6% of ₹100) = $\frac{100}{100}\times 6+ 6 +\frac{6}{100}\times 100$

= 6+6+6
=18

(ix) 50% of 50% of 1000 = ?
Solution: 50% of 50% of 1000 = $\frac{50}{100}\times \frac{50}{100}\times 1000$
$=\frac{1}{2}\times \frac{1}{2}\times 1000$

=250

(x) ₹3 + (100% of ₹3) + (3% of ₹100) = ?
Solution: ₹3 + (100% of ₹3) + (3% of ₹100) = $3+\frac{100}{100}\times 3+\frac{3}{100}\times 100$
= 3+3+3
=9

(xi) If 40% of 140 = x% of 200, then find the value of x .
Solution: Given 40% of 140 = x% of 200
$\Rightarrow \frac{40}{100}\times 140= \frac{x}{100}\times 200$

$\Rightarrow 56 =2x$
So x= 28

(xii ) Reena deposits 60 per month in her post office saving bank account. If this is 10% of her monthly income, find her monthly income.
Solution: Let Reena’s monthly income is Rs. x . Then $10 % \, \, of \, \, x =60$

$\Rightarrow \frac{10}{100}\times x = 60$

$\Rightarrow x= 600$

(xiii) (8% of 35) − (35% of 8) = ?
Solution : (8% of 35) − (35% of 8) = $\frac{8}{100}\times 35-\frac{35}{100}\times 8$

= $\frac{35\times 8}{100}-\frac{8\times 35}{100}$

= 0

(xiv) $Percentage questions for Navodaya exam$
Solution : $x% \, of \, 330+50 %\, of \, \, 600=597$

$\Rightarrow \frac{x}{100}\times 330 +\frac{50}{100}\times 600 =597$

$\Rightarrow 3.3x +300 =597$

$\Rightarrow x= \frac{597-300}{3.3} =\frac{297}{3.3}$
$\Rightarrow x=90$

(xv) If 50% of 130 = x% of 1625, then what is the value of x?
Solution: Given 50% of 130 = x% of 1625
$\Rightarrow \frac{50}{100}\times 130 = \frac{x}{100}\times 1625$