Percentage Questions with Solutions — Set 16 (Q151 to Q160)

151. The price of raw materials has gone up by 20%, labour cost was 10% on old price of raw material and now  labour cost is 25% of new price of raw material. By how much % should there be a reduction in the usage of raw materials so as to keep the cost same?

152. Mr. Ankit is assigned three jobs for which time alloted is in the ratio of 3 : 6 : 2. But due to some technical issue, 10% of the time alloted for each job gets wasted. Thereafter, owing to the lack of interest he invests only 30%, 50% and 20% of the hours of what was assigned to do the three jobs individually. Find how much % of the total time alloted is the time invested by Mr. A.

153. Of adult population in mumbai, 40% of men and 30% of women are married. What percentage of the total population of adults is married(assume that no man marries more than one woman and vice versa)?

154. In an election there are 3 candidates A, B and C. A gets 50% more votes than B. A also beats C by 1800 votes. If it is known that B gets 5 percentage point more votes than C. Find the number of voters on the voting list(given 90% of the voters on the voting list voted and no votes were illegal).

155. The price of petrol shot up by 25% as a result of the hike in the price of crudes. The price of petrol before the hike was Rs. 32 per litre. Ankit travells 2000 kilometers every month & his car gives a mileage of 10 kilometres to a litre. Find the increase in the expenditure that Ankit has to incur due to the increase in the price of petrol.

156. Amit has 80% vision in his left eye and 70% vision in his right eye. On corrective therapy, he starts wearing contact lenses, which augment his vision by 10% in the left eye and 15% in the right eye. Find out the percentage of normal vision that he possesses after corrective therapy(Assume that a person’s eye sight is a multiplicative construct of the eyesight’s of his left and right eyes).

157. There are three galleries in a coal mine. On the first day, two galleries are operative and after sometime, the third gallery is made operative. With this, the output of the mine became half as large again. What is the capacity of the second gallery as a percentage of the first, if it is given that a 8 month output of the first and third galleries was the same as the annual output of the second gallery.

158. The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket and its capacity in Kg to be integers?
(i) 5             (ii) 6            (iii) 7           (iv) 8

159. In SSC paper questions were asked in 5 sections. Out of total students 5% candidates cleared the cut off in all the sections and 5% cleared none. Of the rest 20% cleared only one section and 30% cleared four section. If 25% of the entire candidates cleared two sections and 400 candidates cleared three sections, find out how many candidates appeared at the SSC paper?

160. A has some amount with him. 25% of it is stolen in a train. 10% is stolen from his pocket. 50% of the remaining is spent on medicine. He then purchases a book worth Rs. 26 from the remaining. He walks back home because all his money is over. What was the initial amount?

151. The price of raw materials has gone up by 20%, labour cost was 10% on old price of raw material and now  labour cost is 25% of new price of raw material. By how much % should there be a reduction in the usage of raw materials so as to keep the cost same?
Solution:-

Now for keeping the expenditure same reduction in the usage of raw material = \(\frac{2}{{7.5}} \times 100\) = 26.67%        Answer

152. Mr. Ankit is assigned three jobs for which time alloted is in the ratio of 3 : 6 : 2. But due to some technical issue, 10% of the time alloted for each job gets wasted. Thereafter, owing to the lack of interest he invests only 30%, 50% and 20% of the hours of what was assigned to do the three jobs individually. Find how much % of the total time alloted is the time invested by Mr. A.
Solution:-

∴ required % = \(\frac{{430}}{{1100}} \times 100\) = 3.09%        Answer
The line saying ‘10% of the time alloted for each job gets wasted’ has no contribution in the solution of this question. So we can ignore it.

153. Of adult population in mumbai, 40% of men and 30% of women are married. What percentage of the total population of adults is married(assume that no man marries more than one woman and vice versa)?
Solution:-
40% of men is married to 30% of women
∴ 40%m = 30%w
⟹ \(\frac{m}{w} = \frac{3}{4}\)
∴ Let men = 300   then     women = 400
married men = 40% × 300 = 120
married women = 400 × 30% = 120
∴ % of married population = \(\frac{{120 + 120}}{{400 + 300}} \times 100\)
= \( \boldsymbol{34\frac{2}{7}\%} \)       Answer

154. In an election there are 3 candidates A, B and C. A gets 50% more votes than B. A also beats C by 1800 votes. If it is known that B gets 5 percentage point more votes than C. Find the number of voters on the voting list(given 90% of the voters on the voting list voted and no votes were illegal).
Solution:-
\(A = B\left( {1 + \frac{{50}}{{100}}} \right)\) ⟹ A = \(\frac{3}{2}B\)
A – C = 18000
B = 5% + C
now A + B + C = 100%
\(\frac{3}{2}(5\% + C)\) + (5% + C) + C = 100%
15% + 30 + 10% + 2C + 2C = 200%
⟹ C = 25%
⟹ B = 30%
& A = 45%
now A – C = 18000
∴ 20% = 18000 ⟹ 1% = 900
∴ total votes polled = 100% = 900 × 100
& total votes = \(\frac{{10}}{9} \times 90000\)
= 100000         Answer

155. The price of petrol shot up by 25% as a result of the hike in the price of crudes. The price of petrol before the hike was Rs. 32 per litre. Ankit travells 2000 kilometers every month & his car gives a mileage of 10 kilometres to a litre. Find the increase in the expenditure that Ankit has to incur due to the increase in the price of petrol.
Solution:-

petrol required every month = \(\frac{{2000}}{{10}}\) = 200 litre
∴ increase in expenditure = 200 × 8
                                         = 1600 Rs.      Answer

156. Amit has 80% vision in his left eye and 70% vision in his right eye. On corrective therapy, he starts wearing contact lenses, which augment his vision by 10% in the left eye and 15% in the right eye. Find out the percentage of normal vision that he possesses after corrective therapy(Assume that a person’s eye sight is a multiplicative construct of the eyesight’s of his left and right eyes).
Solution:-

∴ Amit eyesight = 88 × 80.5
Normal eyesight = 100 × 100
∴ required percentage = \(\frac{{88 \times 80.5}}{{100 \times 100}} \times 100\)
= 70.84%        Answer

157. There are three galleries in a coal mine. On the first day, two galleries are operative and after sometime, the third gallery is made operative. With this, the output of the mine became half as large again. What is the capacity of the second gallery as a percentage of the first, if it is given that a 8 month output of the first and third galleries was the same as the annual output of the second gallery.
Solution:-
‘Half as large again’ means an increase of 50%

12B = 8(A + C)
⟹ 12B + 8B = 8(A + C) + 8B
20B = 8(A + B + C)
20B = 8 × 3
B = \(\frac{6}{5}\)
∴ A = 2 – \(\frac{6}{5}\) = \(\frac{4}{5}\)
∴ Required % = \(\frac{B}{A} \times 100\) = \(\frac{{\frac{6}{5}}}{{\frac{4}{5}}} \times 100\) = 150%          Answer

158. The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket and its capacity in Kg to be integers?
(i) 5                 (ii) 6         (iii) 7               (iv) 8
Solution:-

∴ weight of 100% water = 2 unit
∴ weight of filled bucket(100% water + weight of empty bucket) = 2 + 3 = 5 unit
Hence weight should be a multiple of 5. So option (i) 5 is correct       Answer

159. In SSC paper questions were asked in 5 sections. Out of total students 5% candidates cleared the cut off in all the sections and 5% cleared none. Of the rest 20% cleared only one section and 30% cleared four section. If 25% of the entire candidates cleared two sections and 400 candidates cleared three sections, find out how many candidates appeared at the SSC paper?
Solution:-

160. A has some amount with him. 25% of it is stolen in a train. 10% is stolen from his pocket. 50% of the remaining is spent on medicine. He then purchases a book worth Rs. 26 from the remaining. He walks back home because all his money is over. What was the initial amount?
Solution:-

✅ Well done on completing Set 16!

Continue practising with Percentage Questions 161 to 170 → Set 17 or revisit the Percentage Concept Page to strengthen your formulas and tricks before moving ahead.

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