COURSE MODULE NAME PERCENTAGES

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QUESTION BANK: 1. If 20% of 40% of a = 25% of a% of b, then what is b? a. 8/5 b. 16/25 c. 8/25 d. None 2. By what % is 200 more than 50? a. 100 b. 200 c. 300 d. None 3. A value changes from 30 to 80. What is the percentage change? a. 125 b. 166.66 c. 156 d. None 4. The population of a city is increased by 30% and thus became 78000. What is the original population? a. 76000 b. 64200 c. 60000 d. None 5. In a theatre, the number of seats is increased by 20% and the price per ticket is increased by 10% but the public response decreased by 30%. What is the net effect on the economy of the theatre? a.10% rise b. 7% fall c. 7% rise d. None 6. A saves 20% of his income. His income is increased by 20% and so he increased his expenditure by 30%. What is the percentage change in his savings? a. 20% fall b. 4% fall c. 20% rise d. 4% rise 7. The price of petrol is increased by 25%. By what percent the consumption be reduced to make the expenditure remain the same? a. 25% b. 33.33% c. 20% d. None 8. The side of a square is increased by 20%. The percentage change in its area is ___ a. 20% b. 44% c. 36% d. None 9. If the length of a rectangle is increased by 33.33%, by what percentage should the breadth be reduced to make the area same? a. 20% b. 33.33% c. 25% d. None 10. In an election between two candidates, A and B, A secured 56% of the votes and won by 48000 votes. Find the total number of votes polled if 20% of the votes were declared invalid. a. 500000 b. 400000 c. 600000 d. None 11. A reduction of 10% in price of sugar enables a housewife to buy 5 kg more for Rs. 300/-. Find the reduced price per kg of sugar. a. 5/- b. 4.5/- c. 6/- d. None 12. From a 20lt solution of alt and water with 20% salt, 2lt of water is evaporated. Find the new % concentration of salt. a. 20% b. 23% c. 25% d. None 13. In a list of weights of candidates appearing for police selections, the weight of A is marked as 58 kg instead of 46.4 kg. Find the percentage of correction required. a. 30 b. 20 c. 24 d. None 14. A person spends 20% of his income on rent, 20% of the rest on food, 10% of the remaining on clothes and 10% on groceries. If he is left with Rs. 9520/- find his income. a. 10000/- b. 15000/- c. 20000/- d. None 15. A shopkeeper offers three successive discounts of 10%, 20% and 30% to a customer. If the actual price of the item is Rs. 10000, find the price the custome has to pay to the shopkeeper. a. 5040/- b. 4000/- c. 6000/- d. None 16. If 10lt solution of water and alcohol containing 10% alcohol is to be made 20% alcohol solution, find the volume of alcohol to be added. Percentages 26
a. 1 lt b. 1.25 lt c. 1.5 lt d. 2 lt 17. A is twice B and B is 200% more than C. By what percent is A more than C? a. 400 b. 600 c. 500 d. 200 18. In an examination, a student secures 40% and fails by 10 marks. If he scored 50%, he would pass by 15 marks. Find the minimum marks required to pass the exam. a. 250 b. 100 c. 110 d. 125 19. If A is 20% taller than B, by what percent is B shorter than A? a. 20% b. 25% c. 16.66% d. None 20. The population of a town increases at a rate of 10% for every year. If the present population is 12100, find the population two years ago. a. 11000 b. 9800 c. 10000 d. 10120 21. A solution of salt and water contains 15% salt. If 30 lt water is evaporated from the solution the concentration becomes 20% salt. Find the original volume of the liquid before water evaporated. a. 100 lt b. 120 lt c. 200 lt d. None 22. If 240 lt of oil is poured into a tank, it is still 20% empty. How much more oil is to be poured to fill the tank? a. 300 lt b. 60 lt c. 120 lt d. None 23. A and B were hired for the same salary. A got two 40% hikes whereas B got a 90% hike. What is the percentage difference in the hikes thay got? a. 16% b. 6% c. 10% d. 8% 24. The population of a town doubled every 5 years from 1960 to 1975. What is the percentage increase in population in this period? a. 800 b. 400 c. 700 d. 600 25. In a test of 80 questions, Jyothsna answered 75% of the first 60 questions correctly. What % of the remaining questions she has to answer correctly so that she can secure an overall percentage of 80 in the test? a. 80% b. 90% c. 85% D. 95% 26.A person allows discount of 20% on the already discounted MP. What is the initial discount given if he totally gains 20% and MP is double the CP? a. 25% b. 20% c. Data inadequate d. none 27.If a group of 24 men working 8 hrs a day can complete building a wall in 12 days then in how many days 16 men working 6 hrs a day can complete 3 such walls? a. 24 b. 48 c. 72 d. none (28-31)Read the following information and answer the questions given below it : (i) ‘A + B’ means ‘A is the father of B’ (ii) ‘A – B’ means ‘A is the wife of B’ (iii) ‘A ´ B’ means ‘ A is the brother of B’ (iv) ‘A ¸ B’ means ‘A is the daughter of B’ 28. If P ¸ R + S + Q, which of the following is true? a. P is the daughter of Q b. P is the mother of Q c. P is the aunt of Q d. Q is the ant of P 29. If P – R + Q, which of the following statement is true? a.P is the mother of Q b. P is the sister of Q c. Q is the daughter of P d. P is the aunt of Q 30. If ‘P ´ R ¸Q’, which of the following is true? Percentages 27
Page 1 and 2: COURSE MODULE NAME PERCENTAGES Perc
Page 3 and 4: R% per annum. Then, 1. Value of the
Page 5 and 6: Important Points to Note: When any
Page 7 and 8: Clearly, the numbers which have 1 o
Page 9 and 10: Answer & Explanation Answer: Option
Page 11 and 12: EXERCISE PROBLEMS: 1.The original p
Page 13 and 14: At the of the second year, she has
Page 15 and 16: Solution to Problem 17: Total area
Page 17 and 18: 24. How many times more is the life
Page 19 and 20: 75% of x + 75 = x 75/100 + 75 = x 7
Page 21 and 22: 34. If x is 90% of Y, what percent
Page 23 and 24: 42. The number which when decreased
Page 25: Another method Let it be 100 % Hind
Page 29 and 30: a)7% b)3% c)0.3% d)o.7% 44. The pop
Page 31: Percentages 31

COURSE MODULE NAME PERCENTAGES

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