Problems on Percentage Date:7-2-18

1.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A. / 39, 30 / B. / 41, 32
C. / 42, 33 / D. / 43, 34
2. / A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A. / 588 apples / B. / 600 apples
C. / 672 apples / D. / 700 apples
3. / What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A. / 1 / B. / 14
C. / 20 / D. / 21

4.If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?

A.) 5% / B.) 3%
C.) 4% / D.) 6%

5.In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?

A.) 700 votes / B.) 750 votes
C.) 600 votes / D.) 650 votes

6.The population of a town is 8100. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?

A.) 10010 / B.) 10001
C.) 10000 / D.) 10100

7.The population of a town increases 10% and 20% respectively in two consecutive years. After the growth the present population of the town is 13200. Then what is the population of the town 2 years ago?

A.) 10010 / B.) 10001
C.) 10000 / D.) 10100
8. In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
A. / 300,000
B. / 168,000
C. / 36,000
D. / 24,000
9. / A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
A. / 17
B. / 23
C. / 77
D. / None of these
10. / If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
A. / 20% Profit
B. / 25% Loss
C. / 25% Profit
D. / 33.33% Loss
11. / When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?
A. / 1.5 kgs
B. / 1.7 kgs
C. / 3.33 kgs
D. / None of these
12. / 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A. / 15%
B. / 20%
C. / 80%
D. / 70%
13. / B as a percentage of A is equal to A as a percentage of (A + B). Find B as a percentage of A.
A. / 62%
B. / 73%
C. / 41%
D. / 57%
14. / If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
A. / 10%
B. / 12%
C. / 8%
D. / 6.67%
15. / A shepherd has 1 million sheep at the beginning of Year 2000. The numbers grow by x% (x > 0) during the year. A famine hits his village in the next year and many of his sheep die. The sheep population decreases by y% during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?
A. / x > y
B. / y > x
C. / x = y
D. / Cannot be determined
16. / A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
A. / 50
B. / 100
C. / 150
D. / 200
17. / Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
A. / 35
B. / 250
C. / 75
D. / 85
18. / Each person in a group of 110 investors has investments in either equities or securities or both. Exactly 25% of the investors in equities have investments in securities, and exactly 40% of the investors in securities have investments in equities. How many have investments in equities?
A. / 65
B. / 80
C. / 120
D. / 135
19. / A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs 42,000 and establishment charges are Rs 12,000. The annual output of the company is Rs 70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get 12.5% profit, which is directly proportional to the annual output of the company. If 7.14% machines remain closed throughout the year, then the percentage decrease in the amount of profit of the shareholders would be:
A. / 12%
B. / 12.5%
C. / 13%
D. / None of these
20. / A shopkeeper sells three items P,Q and R and incurs a loss of 21%, 11% and 10% respectively. The overall loss percentage on selling P and Q items is 14.33% and that of Q and R items is 10.4%. Find the overall loss percentage on selling the three items?
A. / 15%
B. / 12.16%
C. / 13.4%
D. / 12.5%
21. / A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and a pair of woollen trousers is sold at 50% profit. The salesman has calculated that if he sells 100% more woollen trousers than cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woollen trousers. What will be his overall profit?
A. / 37.5%
B. / 40%
C. / 41%
D. / 42.33%
22. / A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
A. / Rs 13,000
B. / Rs 10,000
C. / Rs 7,000
D. / Rs 5,500
23. / A small and medium enterprise imports two components A and B from Taiwan and China respectively and assembles them with other components to form a toy. Component A contributes to 10% of production cost. Component B contributes to 20% of the production cost. Usually, the company sells this toy at 20% above the production cost. Due to increase in the raw material and labour cost in both the countries, Component A became 20% costlier and component B became 40% costlier. Owing to these reasons the company increased its selling price by 15%. Considering that cost of other components does not change, what will be the profit percentage, if the toy is sold at the new price?
A. / 15.5%
B. / 25.5%
C. / 35.5%
D. / 40%
24. / The cost of raw material of a product increases by 30%, the manufacturing cost increases by 20% and the selling price of the product increases by 60%. The raw material and the manufacturing cost, originally, formed 40% and 60% of the total cost respectively. If the original profit % was one-fourth the original manufacturing cost, find the approximation new profit percentage.
A. / 48.39%
B. / 54.68%
C. / 62.48%
D. / 42.36%
25. / The marks scored in History by P,Q,R and S form a geometric progression in that order. If the marks scored by R were 2759% less than the sum of the marks scored by P and Q, then marks scored by S were what percent more than the marks scored by Q? (Assume that everyone scored positive marks).
A. / 56.25 %
B. / 55.55 %
C. / 64 %
D. / 67.75 %
26. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
A. 2 : 1 / B. 1 : 2
C. 1 : 1 / D. 4 : 3
27. Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A. Rs. 150 / B. Rs. 300
C. Rs. 250 / D. Rs. 200
28. Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A. Rs. 15 / B. Rs. 12.10
C. Rs. 19.70 / D. Rs. 16.80
29. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received ?
A. Rs. 76,375 / B. Rs. 34,000
C. Rs. 82,150 / D. Rs. 70,000
30. If number x is 10% less than another number y and y is 10% more than 125, then find out the value of x.
A. 123 / B. 122
C. 122.25 / D. 123.75