Percentage Questions with Solutions — Set 20 (Q191 to Q200)

191. In an election there were only three candidates. 10% of the total votes could not be cast and 10000 votes were found invalid. The winning candidate got 52% of the valid votes and candidate at the third position got 12% votes. If the candidate at the second position got 28800 votes, then find the total number of votes.

192. The salaries of A, B and C together amount to Rs. 333. If they spend 80%, 85% and 75% of their respective salary. If their saving are 7 : 6 : 9, then find their respective salaries?

193. In an exam \(\frac{1}{{20}}th\) part of the students attempted all 5 questions while \(\frac{1}{{20}}th\) part of the students did not attempt any question. \(\frac{1}{{4}}th\) part of the remaining attempted only four questions while \(\frac{1}{{5}}th\) part of the students attempted only one question. If \(24\frac{1}{2}\% \) of the total students attempted three questions and 200 students attempted only two questions. Then find total number of students?

194. Ankit was asked to draw an angle of 45° on paper, he draws 45°27′ angle by mistake. Find the % error.

195. When water is freezed to ice its volume ↑ by 10%. If the ice is melted into water how much percent its volume will reduce.

196. In an examination there were \(12\frac{1}{2}\% \) girls. Only \(62\frac{1}{2}\% \) of the total girls and 75% boys were passed. If number of failed girls be 378 then find the number of failed boys.

197. What will be the % profit after selling an  article at a certain price if there is a loss of 10% when the article is sold at \({\frac{3}{4}^{th}}\) of the previous selling price?

198. Rakesh purchased a house for Rs. 200000. He spends \(12\frac{1}{2}\% \) of rent on the repair work and spends Rs. 275, per annum and then he earn a profit of 4% annually on his investment. Then find his monthly rent?

199. In an election between two candidates, 10% of the voters did not cast their votes while 10% of the votes polled were declared invalid. If the winning candidate get 54% of the valid votes and won by 1620 votes then find the total number of voters in the voter list.

200. Everyday a mango seller sells half his stock, 10% of the stock overnight gets spoiled. If 2644 mangoes rotted over 3 nights then how many did he start with on the first day?

191. In an election there were only three candidates. 10% of the total votes could not be cast and 10000 votes were found invalid. The winning candidate got 52% of the valid votes and candidate at the third position got 12% votes. If the candidate at the second position got 28800 votes, then find the total number of votes.
Solution:-
Let total valid votes = 100%
votes of the candidate at second position = 100 – (52 + 12)
                                                                  = 36%
36% ⟶ 28800
1% ⟶ 800
∴ total valid votes = 100% = 800 × 100 = 80000
& total votes polled = \(8000 + \mathop {10000}\limits_{(invalid)} \)
= 90000
& total votes polled = 90% ⟶ 90000
                                        1% ⟶ 1000
∴ total votes = 100% = 1000 × 100
= 100000         Answer

192. The salaries of A, B and C together amount to Rs. 333. If they spend 80%, 85% and 75% of their respective salary. If their saving are 7 : 6 : 9, then find their respective salaries?
Sol:-
Let their savings be 7x, 6x & 9x
A + B + C = 333 ………..(i)

According to question
\(\frac{{20A}}{{100}} = 7x\) ⟹ A = 35x
\(\frac{{15B}}{{100}} = 7x\) ⟹ B = 40x
\(\frac{{25C}}{{100}} = 7x\) ⟹ C = 36x
∴ 35x + 40x + 36x + 373
x = 3
∴ salarie are
A = 105 Rs.
B = 120 Rs.
C = 108 Rs.              Answer

193. In an exam \(\boldsymbol{\frac{1}{{20}}th}\) part of the students attempted all 5 questions while \(\boldsymbol{\frac{1}{{20}}th}\) part of the students did not attempt any question. \(\boldsymbol{\frac{1}{{4}}th}\) part of the remaining attempted only four questions while \(\boldsymbol{\frac{1}{{5}}th}\) part of the students attempted only one question. If \(\boldsymbol{24\frac{1}{2}\%} \) of the total students attempted three questions and 200 students attempted only two questions. Then find total number of students?
Sol:-

x = 4
∴ total students = 200x = 200 × 4 = 800       Answer 

194. Ankit was asked to draw an angle of 45° on paper, he draws 45°27′ angle by mistake. Find the % error.
Sol:-
% error = \(\frac{{45^\circ 27’\; \boldsymbol{-}\; 45^\circ }}{{45^\circ }} \times 100 = \frac{{27′}}{{45^\circ }} \times 100 = \frac{{27′}}{{(45 \times 60)’}} \times 100\)
= 1%       Answer

195. When water is freezed to ice its volume ↑ by 10%. If the ice is melted into water how much percent its volume will reduce.
Solution:-

196. In an examination there were \(\boldsymbol{12\frac{1}{2}\%} \) girls. Only \(\boldsymbol{62\frac{1}{2}\%} \) of the total girls and 75% boys were passed. If number of failed girls be 378 then find the number of failed boys.
Solution:-
While solving this type of question take the total number of students in such a way so that we may deal with all the fractions easily and also make our calculation easier.

197. What will be the % profit after selling an  article at a certain price if there is a loss of 10% when the article is sold at \(\boldsymbol{{\frac{3}{4}^{th}}}\) of the previous selling price?
Solution:-
Let cost price = c
selling price = s
\(\frac{{c \;\boldsymbol{-}\; \frac{3}{4}s}}{c} = \frac{{10}}{{100}}\)
\(10c \;\boldsymbol{-}\; \frac{{30}}{4}s = c\)
9c = \(\frac{{30}}{4}s\)
18c = 15s
∴ original profit = \(\frac{{s \;\boldsymbol{-}\; c}}{c} \times 100\)
= \(\frac{{\frac{{18}}{{15}}c \;\boldsymbol{-}\; c}}{c} \times 100\)
= \(\frac{{18 \;\boldsymbol{-}\; 15}}{{15}} \times 100\)
= 20%          Answer

198. Rakesh purchased a house for Rs. 200000. He spends \(\boldsymbol{12\frac{1}{2}\%} \) of rent on the repair work and spends Rs. 275, per annum and then he earn a profit of 4% annually on his investment. Then find his monthly rent?
Sol:-
Let monthly rent = x
∴ yearly rent = 12x
\(12\frac{1}{2}\% \) of rent is spent ⟹ \(87\frac{1}{2}\% \) of rent is saved
∴ \(87\frac{1}{2}\% \) × (12x) – 275 = \(\frac{4}{{100}} \times 200000\)
10.5x = 8275
x = 788.09 Rs.             Answer

199. In an election between two candidates, 10% of the voters did not cast their votes while 10% of the votes polled were declared invalid. If the winning candidate get 54% of the valid votes and won by 1620 votes then find the total number of voters in the voter list.
Sol:-

200. Everyday a mango seller sells half his stock, 10% of the stock overnight gets spoiled. If 2644 mangoes rotted over 3 nights then how many did he start with on the first day?
Sol:-
Let total mangoes = 100

∴ total mangoes = 100 unit = 100 × 320 = 32000             Answer

✅ Well done on completing Set 20!

Continue practising with Percentage Questions 201 to 210 → Set 21 or revisit the Percentage Concept Page to strengthen your formulas and tricks before moving ahead.

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