Percentage problems with solutions for bank exams

Don’t get stuck if you face difficulty in solving percentage questions, don't worry it happens. That time you just need to find percentage problems with solutions for bank exams or other competitive exams.  So, here you can resolve your percentage problems with solutions for bank exams. With the help of these percentage problem solutions, you can improve your performance level for bank exams.

You can practice more with percentage questions and answers to increase your performance. Before that, you can understand properly, how to solve percentage problems by these Percentage Shortcut Tricks to save your time in the competitive exams.

Percentage Problems with Solutions for Competitive Exam

Q.1. Which is greatest in  and 0.17 ?

$$ Solution $$

$$ 16{2\over3} \% = \left({50\over3}×{1\over100} \right)={1\over6}=0.166, {2\over15}=0.133. $$

Clearly, 0.17 is the greatest.

Q.2. An inspector rejects 0.08% of the meters as defective. How many will be examine to rejects 2 ?

$$ Solution $$

Let the number of meters to be examined be x.

$$ Then \ 0.08\% \ of \ x = 2 ⟺ \left( {8\over100}×{1\over100}×x \right)=2  $$

$$⟺ x =\left({2×100×100\over8} \right)=2500 $$

Q.3. Sixty-five percent of a number is 21 less than four-fifth of that number. What is the number ?

$$ Solution $$

Let the number be x.

$$ Then, {4\over5}x-(65\% \ of \ x )=21 ⟺{4\over5}x-{65\over100}x=21⟺15x=2100⟺x=140. $$

Q.4. In expressing a length 81.472 km as nearly as possible with three significant digits, find the percentage error.

$$ Solution $$

$$ Error = (81.5-81.472) \ km =0.028 $$

$$∴ Required \ percentage=\left({0.028\over81.472}×100 \right)\% =0.034\%  $$

Q.5.The ratio 5 : 4 expressed as a percent equals :

(A) 12.5%                             (B) 40%                 (C) 80%                 (D) 125%

$$ Solution $$

$$ 5:4={5\over4}=\left({5\over4}×100 \right)\%=125\% $$

Q.6. 3.5 can be expressed in terms of percentage as : 

(A) 0.35%                             (B) 3.5%                (C) 35%                 (D) 350%

$$ Solution $$

$$ 3.5={35\over10}=\left({35\over10}×100 \right)\%=350\% $$

Q.7.Half of 1 percent written as decimal is :

(A) 0.005                              (B) 0.05                 (C) 0.02                 (D) 2

$${1\over2}\%=\left({1\over2}×{1\over100}\right)={0.5\over100}=0.005. $$

Q.8. What is 15 percent of Rs. 34 ?

(A) Rs. 3.40                          (B) Rs.  3.75         (C) Rs. 4.50          (D) Rs. 5.10

$$ Solution $$

$$ 15\% \ of \ Rs.34 =Rs.\left({15\over100}×34 \right)=Rs.5.10. $$

Q.9.The difference between a number and its two-fifth is 510. What is 10% of that number? 

(A) 12.75                              (B) 85                     (C) 204                  (D) None of these

$$ Solution $$

Let the number be x.

$$ Then, x- {2\over5}x=510⟺ {3\over5}x=510⟺x=\left({510×5\over3} \right)= 850 $$

∴ 10% of 850 = 85.

Q.10. If 15% of 40 is greater than 25% of a number by 2, then the number is :

(A) 12                    (B) 16                     (C) 24                     (D) 32

$$ Solution $$

Let the number be x. Then,

$$ 15 \% \ of \ 40-25\% \ of \ x=2⟺{25\over100}x=\left({15\over100}×40 \right)-2 $$

$$ ⟺{x\over4}=4⟺x=16 $$

I really hope these percentage problems with solutions are helpful for your preparation which will make you comfortable while taking the exam. If you have any doubt regarding percentage problems with solutions, you can ask me in the comment section.