Percentage Advanced Problems

Percentage Advanced/High Level Problems

Q1: A company has 12 machines of equal efficiency in its factory. The annual manufacturing expenses are Rs. 24,000 and the establishment charges are Rs. 10,000. The annual output of the company is Rs. 48,000. The annual output and manufacturing costs are directly proportional to the number of machines while the shareholders get the 10% profit, which is directly proportional to the annual output of the company. If 8.33% of machines remained close throughout the year. Then the percentage decrease in the amount of shareholders is:
(a) 16.66%
(b) 14.28%
(c) 8.33%
(d) None of these

Ans: (b) 14.28%

Explanation:

Q2: A, B, C and D purchased a cine-multiplex for Rs. 56 lakhs. The contribution of B, C and D together is 460% that of A, alone. The contribution of A, C and D together is 366.66% that of B’s contribution and the contribution of C is 40% that of A, B and D together. The amount contributed by D is :
(a) 10 lakh
(b) 12 lakh
(c) 16 lakh
(d) 18 lakh

Ans: (d) 18 lakh

Explanation:

Q3: The raw material and manufacturing cost formed individually 70% and 30% of the total cost and the profit percentage is 14.28% of the raw material. If the cost of raw material increase by 20% and the cost of manufacturing is increased by 40% and the selling price is increased by 80%, then the new profit percentage is :
(a) 57\displaystyle\frac{1}{7}%
(b) 65.8%
(c) 60%
(d) Can’t be determined

Ans: (a) 57\displaystyle\frac{1}{7}%

Explanation:

Q4. Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? (Given that the price of rice and consumption of wheat is constant)
(a) 36%
(b) 25%
(c) 40%
(d) 24%

Ans: (a) 36%

Explanation:

Q5. Every day a mango seller sells half of his stock, 10% of the stock overnight gets spoiled, if 1983 mango rotted over three nights then how many did he starts with on the first day?
(a) 25000
(b) 30000
(c) 24000
(d) 32000

Ans: (c) 24000

Explanation:

Q6. In Sabarmati Express, there are as many wagons as the number of seats in each wagon and not more than one passenger can have the same berth (seat). If the middlemost compartment carrying 25 passengers is filled with 71.428% of its capacity, then find the maximum no. of passengers in train that can be accommodated if it has minimum 20% seats always vacant.
(a) 500
(b) 786
(c) 980
(d) Can’t be determined

Ans: (c) 980

Explanation:

Q7. The annual earning of Mr. Sikkawala is Rs. 4 lakhs per annum for the first year of his job and his expenditure was 50%. Later on for the next 3 years his average income increases by Rs.40,000 per annum and the saving was 40%, 30% and 20% of the income. What is the percentage of his total savings over the total expenditure if there is no interest is applied on the savings for these four years?
(a) 49%
(b) 37%
(c) 87%
(d) 51%

Ans: (d) 51%

Explanation:

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