COMPACT PERCENTAGE

1) If 50/3% of a number is added with itself than result becomes 4956. Find the original number .             4248

2) If 20/3% of a number is substracted from itself then result becomes 5670. Find the original number.         6075

3) If 100/9% of a number is added with itself then result becomes 900. Find the original number.                              810

4) If 64 is added in a number then number becomes 1100/7% of itself. Find the number .                                        112

5) If 930 is added to a number then number becomes 4000/9% of itself. Find the original number.                    270

6) If 16 is added in a number then result becomes 350/3% of itself. Find the number.                       96

7) If 21 is added in a number then result becomes 275/2% of a number. Find the number.                       56

8) If the length of a rectangle is increased by 75/2% and its breath is decreased by 20%. Find the % change in its area.

9) The price of sugar is increased by 50/3% and the consumption of a family is decreased by 20%. Find the percentage change in his expenditure.    20/3%

10) The sale of a cinema ticket is increased by 400/7% and price of tickets increased 50/3%. Find the percentage change in his revenue .           250/3%

11) If the sides of a square is increased by 40%. Find the % change in its area.     96%

12) The population of town is 189000. 4/9 of them are males and rest females . 50% males are married.
a) Find the percentage of married population.                     400/9%
b) find the % of married female.   40%

13) A labour works 60 hours per week and he earns Rs2400 as wages . If his per hour wages increased by 40% and duration of work reduced by 50/3%. Find the % change in his income.      50/3%

14) A man multiply a number by 7/4 instead of 3/5. Find the % change in his revenue.                            375/3%

15) A student multiplied a number by 3/5 Instead of 5/3. Find the % error in the calculation.                       64%

16) A student multiply a number by 3/4 instead of 4/3. Find the percentage error in calculation.              175/4%

17) If the income tax increased by 19% and net income is decreased by 6%, find the rate of income tax.            

18) if the income tax is increased by 17% then net income is a reduced by 3%. Find the rate of income tax.              15%

19) In a train there are as many wagon as there are number of seats in each wagon. In one of the Wagon carrying 25 persons is filled with 500/7% of its capacity. Find the maximum number of percentage that can be accommodate if its has a minimum 20% seats always vacant.               980

20) A man can type 20 lines in 10 minutes but he leaves 8% margin on each line. In how much time he will type 23 pages with 40 lines on each page on which he leaves 25% more margin than before.          10%

21) If x earns 25% more than y. What % less does y earns then x.               20%

22) If Kishan's salary is 50/3% less than Radha. By how much % does Radha's salary is more than Krishan.          20%

23) P is 6 times as large as Q. By how much percentage is A less than P .   250/3%

24) If 60% of the students in a school  are boys and the number of girls is 972. How many boys are there in the school.    1458

25) If a student 25% marks then he is failed by 210 marks. But if he scores 55% marks then he is passed with 240 marks. Find the passing %.      39%

26) If a student score 36% marks then he is failed by 32 marks. But when hr score 48% marks he is passed by 64 marks. Find the passing %.                    49%

27) When a student score 40% marks then he is failed by 50 marks. but when he score 50% marks then he is passed with 40 marks. Find passing%.   410/9%

28) When a student score 30% marks then he fails by 5 marks. but when he scores 40% marks, he got 10 more marks than passing %. Find
a) maximum marks.                    150
b) passing percent.                      100/3%

29) There are two types of animals in a room, some are cats and some are dogs. Each cat take 7 biscuits and each dog takes 9 biscuits. if 355 biscuits are eaten by 45 animals. find the number of cats and dogs.                       25, 20

30) In a zoo, there are rabbits and pigeons. if the heads are counted, there are 280. If legs are counted there are 820. How many pigeons are there.   130, 150

31) The population of a town is 6000. If males are increased by 5% and female are increased by 9% then population will become 6500 after 1 year. Find the numbers males and females .     1000, 5000

32) The population of a village was 9600. If the males and females are increased by 8 and 5%, the population will becomes 1072 after 1 year. Find the number of males at present.     6400

33) A family consumes 25 Kg rice and 9 kg wheat per month spend ₹350. The price of rice is 20% of the price of  wheat. if the price of wheat is increased by 20% then find the percentage reduction in consumption of rice, if it has the same amount to spend. The price of rice is constant.                          36%

34) In an election two candidates participated. 20% votes declare invalid and the winners gets 70% of the valid votes, and won by 9600 vote. Find the number of
a) voting list .                30000
b) valid votes.          24000

35) In an election two candidates participated. 20% votes did not vote . 25/2% votes declared invalid and winner get 60% of the valid vote and won by 5600 votes. Find the number of voter list.                      40000

36) In an election 10% voters did not vote and 100/9% votes declared invalid and the winners get 75% of the valid votes . If he win by 2000 votes then Find the voting list.                          5000

37) In an election two candidates participated, 10% voters did not vote , out of which 10% votes declare invalid and the winner got 70% of the valid votes and win by 7290 votes. Then find the voting list.                    22500

38) In an election two candidates participated. 20% voters did not cast their votes, out of which 600 votes declared invalid and the winners get 75% of valid votes and wins by 1500 votes. Find the number of voting list.      4500

39) In an election two Candidates participated, 10% voters did not vote, 2500 votes declared invalid and the winner get 55% the valid votesand wins by 2000 votes. Find the number of voters in the voting list.              25000

40) A salesman is allowed 12% Commission on the total sales made by him a bonus of 1% on the sales over 15000, if the total earnings of the salesman is ₹7650, Find the total sales.        60000

41) A salesman is allowed 9% Commission on the total sales made by him and a bonus 1% on the sales over 20000, if the total earning of the salesman is 6800. Find the total sales.        70000

42) A salesman is allowed 11/2% Commission on the total sales made by him and a bonus 1)2% on the sales over ₹10000. If his total earning is ₹1990, find the total sales.               34000

43) If the price of sugar is increased by 30%. Then by how much percent the consumption increase so that the expenditure remains same .      300/7%.

44) The price of sugar increased by 20% by how much percent the consumption is decrease so that expenditure will not increase.                         50/3%

45) The price of sugar is decreased by 30%. By how much % the consumption is increased so as the expenditure will decreased by 10% only.             200/7%

46) The price of sugar is increased by 20%. By how much kg of consumption is decreased so as the expenditure will increased by 5% only when the originally consume 280 kg per sugar.         36kg

47) The price of sugar is increased by 30% due to this a family use 40 kg less sugar so as expenditure will increased by 10% only. Find original consumption.    260kg

48) The price of sugar decreased by 30% due to this a family purchase 32 kg more sugar so as the expenditure will decreased by 16% only. Find the current consumption.                        192

49) The price of sugar is increased by 20% due to this family purchased 12 kg less sugar for ₹300. Find 
a) the original consumption .      72kg
b) current consumption.                60kg
c) original price.                       25/6 @
d) current price.                ₹5@

50)  The price of rice decreased by 10% due to which a family use 50 gram more rice in Rs. 1. Find the original consumption .                           450gm

51) In an election two candidates participated. 10% did not vote. 300 votes declared invalid and the winners get 60% of the voting list and win by 900 votes . Find the number of valid votes.        1500

52)  In an election two Candidates participated. 20% voters did not vote and 120 votes declared invalid. winner wins by 200 votes and winners gets 41% of the voter list . Find the voting list.    3200

53) A company allowed 9% Commission on the total sales to his salesman, and a bonus of 1% on the sales over ₹20000. If the salesman deposited ₹63200 in the company after deducting is earning on the total sales. Find the total sales made by the salesman.            70000

54) A company give 12% Commission to his salesman on his total sales and above sales of 15000, 1% Bonus. If the salesman deposited 52350 in the company after detecting his commission from the total sales find the total sales . Find total sales.                60000

55) A company givt 5% Commission to his salesman upto the sale of 10000 and a commission of 4% on the sales above 10000. If the salesman deposited ₹31100 in the company after deducting his commission then find the total sales .     32500

56) A,B,C and D purchase a flat 56 lakh. The share of B + C + D is 460% of A, The share of A + C + D is 1100/3% of B and C's share is 40% of A + B + D. Find the share of D.                       18 lakh

57) The price of sugar is decreased by 20% due to this a family purchase 20 kg more sugar for ₹400. Find 
a) the original consumption.    80kg
b) original price.             ₹5@
c) current consumption .             100kg
d) current price.                   ₹4@

58) A reduction of Rs 2 per kg enables a man to purchase 4 kg more sugar for Rs 16. Find the original price.          ₹4@

59) A reduction of 50 paise/dozen in the price of eggs . A person buy one dozen more eggs for ₹ 66. Find the original price.                   ₹6@

60) A man spends 60% of his income. If his income is increased by 15% and his expenditure is increased by 15%. Find the percentage change in his saving.   15% increase

61) A man spends 75% of his income. If his income is increased by 20% and expenditure is increased by 10%. Find the percentage change in the saving.   50% increase 

62) A man spends ₹ 5700 out of his income of ₹8550. If his income and expenditure increased by 19% and 13%. Find the percentage change in saving.    31% increase 

63) The population of a town is increased by 50/3% in first year, in 2nd year decreased by 75/2%, in 3rd year decreased by 400/7%. Then find present population if after 3 years the population will be comes 165000.         144000

64) A man spends 5% of his total income in travelling and 20% of the rest spend in food and then it donate ₹120 and he stills left with ₹1400. Find his income.      2000

65) An electronic contractor has certain length of wire 10% wire has stolen and 70% of the remaining was sold out. Find the original length of the wire if 810m  wire is still left.                  3000m

66) In a library 20% of the books are in Hindi, 50% of the remaining in English and 30% the remaining are in French and rest 6300 books are in rigional language. then find the number of books in library.   22500

67) A manufacturer sold his goods to wholesaler at 25% profit and the wholesaler sales it to retailer 20% profit and the retailer sold it to customer at 28% profit. Then find the cost price of goods for manufacturer if the customer purchase it at ₹9600.               5000

68) A spends 50% of his income on household items and of the remaining 50% on transport, 25% on entertainment, 10% on sports and remaining amount of ₹900 is saved. What A's monthly income.   12000 

69) Mr x spent 20% of income on food and 15% on childrens education, 40% of the remaining is spent on entertainment and transport together and 30% on medical. He is left with an amount of ₹8775 after all these expenditures. What is Mr X monthly income.           45000

70) In a class of 60 children, 30% children can speaks only English, 20% only Hindi and rest of the children can speak both the languages . How many childrens can speak Hindi ?      42

71) In an exam 65% student passed in maths, 48% passed in physics and 30% passed in both. How much percent of students failed in both the subjects .     17%

72) in an examination 35% the student failed in maths and 25% in English. If 10% failed in both math and English, then how much percent passed in both the subjects . B 50%

73) In a village each of the 60% of families has a cow, each of the 30% families has buffaloes and each of the 15% the families has both cow and a buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo. 24

74) if the numerator of a fraction is increased by 200% and the denominator is increased by 350%, the resultant fraction is 5/12. What was the original fraction ? 5/8

75) A solution of salt inverter content 5% salt. If 20L of water is evaporated then salt becomes 15%. Find the initial solution. 30L

76) 12 L of mixture of acid and water contains 30% of acid. How much litre of water should be withdrawn to make acid 40%. 3L

77) When income of a man is increased by ₹6000, tax rate reduced from 18% to 15%, while in both the situation 25% of the income is tax free. Find his initial income if he paid equal taxes in both cases. 30000

78) A man saves a certain part of his monthly income so that he can purchase a car in 16 months. Find the percentage increase in his saving so that he can purchase the same car in 14 month only. 99/7%

79) A watermelon contains 90% water. After sometime it contains only 12% water , if now its weight is 50 kg, calculate the original weight. 440kg

80) 20 kg fresh watermelon contains 96% of water, after sometime water remains 95%. Find the present weight of watermelon. 16kg

81) Fresh fruit contains 68% water and dry fruit contains 20% water. How many kg of dry fruits can be made from 75 kg of fresh fruits. 30kg

82) A company allow 7% commission on total sales to the salesman. But if the salesman is appointed on a fix salary of ₹3000 + 4% Commission on the sales more than ₹10000, then salesman receives ₹800 more on second condition. Find the total sales. 60000

83) In an election Kareena and Katrina participated. 2/5 of the voter promised to vote for Kareena and rest promise to vote for Katrina. On the voting days 15% of the voters went back on their promise to vote for Kareena and 25% of the voters went back on their promise to vote for Katrina. Find the total number of voters, if katreena wins by 750 votes. 37500


84) Ram purchase Six black and X white balls. The price of black balls is 5/2 of the price of the white ball. At the time of making the bill clerk made a mistake and interchange the number of balls, due to this bill amount increase by 45% find X. 15








 

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