**Hey Guys… **

** Here is some exercise for you all. **

** Solve these problems based on the ” Percentages “**

**Q.1 ) A student multiplied a number by 3/5 instead of 5/3.What is the percentage error in the calculation ?**

** A. 34%**

** B. 44% **

**C. 54%**

** D. 64%**

**Q.2)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 : 3**

** B. 1 : 1 **

**C. 3 : 4 **

**D. 4 : 3**

**Q.3) The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: **

**A. 4.37%**

** B. 5%**

** C. 6% **

**D. 8.75%**

**Q.4) The price of pen is increased from Rs.5 to Rs.7 .What is the percentage increase?**

** A.) 35 %**

** B.) 40 %**

** C.) 35 %**

** D.) None of these**

** Q.5) 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 ?**

**Q.6 )40% of 70 is x% more than 30% of 80. Find x.**

** A.) 33.33%**

** B.) 40%**

** C.)16.67 %**

** D.)25%**

** E.) 14.28 %**

**Q.7 ) f S is 150 percent of T, then T is what percent of S + T? **

**33.33%****40%****75%****80%****85%**

**Q.8) If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?**

**25%****16.67%****20%****33.33%**

** Q.9) 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.**

**50****100****150****200**

**Q. 10) Two tailors 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.200 **

**B. Rs.250 **

**C. Rs.300 **

**D. None of these.**

**Q.10) What percentage of numbers from 1 to 70 has 1 or 9 in the unit’s digit?**

** A. 1**

** B. 14 **

**C. 20 **

**D. 21**

**Q.11) Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?**

** A. 57% **

**B. 60%**

** C. 65% **

**D. 90%**

**Q.12) In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: **

**A. 2700 **

**B. 2900 **

**C. 3000**

** D. 3100**

**Q.13) A student divided a number by 2/3 when he required to multiply by 3/2.**

**Calculate the percentage of error in his result.**

**Q.14) 𝟑𝟏𝟗 of 30% of 3420 = (?)2 x 2**

**Q.15) The sum of two number is 4000. 10% of one number is 6.66% of the other .The difference of the numbers is **

** A.) 600**

** B.)800**

** C.) 1025**

** D.) 1175**

**Q.16) If the length of rectangular plot of the land is increased by 12 % and the breadth is decreased by 10 % , then its area is **

** A.) Decreased by 1.25%**

** B.) Decreased by 2.5 %**

** C.) Increased by 1.25%**

** D.) Increased by 2.5 %**

** Q.17) If the product of 10 x 10 x 10 is changed to 11 x 12 x 13 . Find the Percentage change in the product. **

**Q.18) If the length of rectangle is increased by 10% and breadth by 20% .What is the percentage change in the area of rectangle ?**

** A.) Decreased by 32 %**

** B.) Decreased by 30.3 %**

**C.) Increased by 30.3%**

**D.) Increased by 32 %**

**Q.19) Mr. Praveenkumar’s salary increases by 20 % and then decreases by 20 % . What is the net percentage change in his salary ?**

**Q.20 ) If the side of a cube is increased by 10 % , then what is the % age change in the volume of a cube ? **

** A.) 30%**

** B.)33.1 %**

** C.) 21%**

**D.) 32%**

**Q. 21) Two successive discounts of 30% & 40 % is equal to single discount of _____ ?**

**Q.22) If the side of a square is increased by 30 % , then % age change in area of square is **

** A. ) 60.6 %**

** B. ) 9 %**

** C. ) 69 %**

** D. ) 96 %**

**Q.23 ) My friend Pavan wanted to subtract 5 from a number . Unfortunately , he added 5 instead of subtracting .Find the % change in the result .**

** Q.24 ) If the 15 % & 75% of a number is 300 & 1500 respectively . Find the number **

**Q.25 ) The salary of Prem is 30% more than of Pratik .Find by what % age is salary of Pratik less than that of Prem ?**

** A. ) 30%**

** B. ) 70%**

** C.) 27.27 %**

** D.) None of these .**

**Q.26) The difference between 93 % and 78% of a number is 435 . What is 37 % of that number ? **

**Q.27 ) If the numerator of fraction increases by 25 % and its denominator decreases by 20% , then resultant fraction is 5/8 . What was the original fraction?**

**Q.28 ) If 56 % of a number is 1064 . What is 38% of that number ?**

** A.) 666**

** B. )722**

** C. )856**

** D.) 912**

** E.) None of these .**

**Q.29 ) If the population of a village is 100000 .The rate of increase in population is 10% p.a. Find the population at the start of the third year .**

**Q.30) If the sides of triangle is increased by 20% , then what is the percentage change in area of the triangle ?**

**Q.31 ) If the diameter of the circle is increased by 40% , then what is the %age in the area of the circle ?**

**Q.32 ) If the radius of the circle is increased by 40% , then what is the %age in the area of the circle ?**

**Q.33 ) What is the approximate value of (1.02)^4 **

**Q.34) A car increases its speed by 25% , after that it again increases its speed by 20%. By what %age is the car’s final speed greater than its original speed ?**

**Q.35) If no. of employees in a company decreased from 40 to 28 .What is decrease in percentage of no. of employees ?**

**Q.36 ) ****If the radius of a cylinder increases by 10% and height increases by 30% .What is the % age change in volume of cylinder ?**

** Q.37) If length , breadth , height of a room in the shape of a cuboid are increased by 10% ,20% & 50 % respectively. Find the percentage change in the volume of the cuboid.**

**Q.38 ) The price of sugar is increased by 25% , but inspite of the decrease , Veeresh ends up increasing his expenditure on sugar by 20% . What is the % age change in his monthly consumption of sugar ?**

**Q.39) Two numbers are respectively 20 % and 50% more than a third number . What percentage is the first of the second ?**

**Q.40 ) In measuring the sides of a rectangle , one side is taken 6 %in excess and the other 3% in deficit . Find the error percent in the area calculated from the measurement .**

** **

**Note : Please Comment your answers with the proper option and solution ( if any problem has options ) **

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**Enjoy solving these problems**

**Team Aptitude Prep !!!**

Q2) 0.05A + 0.04B = ( 2 / 3 ) ( 0.06A + 0.08B)

0.05A + 0.04B = 0.04A + ( 0.16 / 3 )B

0.15A + 0.12B = 0.12A + 0.16B

0.03A = 0.04B

A / B = 4 / 3

so the answer is A : B = 4 : 3

Q4) ( 7 – 5 ) / 5 = 2 / 5 = 40%

Q6) ( 28 – 24 ) / 24 = 4 / 24 = 16.67%

Q8) 25 + b + 25b / 100 = 0

25 + ( 5 / 4)b = 0

(5 / 4 )b = – 25

b = – 20%

Q10) since there are only 2 numbers that have a unit digit of 1 or 9 in units place, out of every 10 possible numbers. then the percentage must be 2 / 10 = 20%

Q16) 12 – 10 + 12 ( -10) / 100 = 0.8%

so the area is increased by 0.8%.

Q18) 10 + 20 + 10 ( 20 ) / 100 = 32%

so the area is increased by 32%

Q20) 10 + 10 + 10 + [ 10(10) + 10(10) + 10(10)] / 100 + 10(10)(10)/10000 =33.1%

so the volume of the cube is increased by 33.1%

Q22) 30 + 30 + 30(30) / 100 = 69%

Q24) 300 = 0.15x

100 = 0.05x

100 / 5 = 20

0 d.p. – 2 d.p. = – 2 d.p ( this in fact means that decimal moves two places to the right)

2000 ( answer )

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Q28) 1064 = 56%

so 532 = 28%

now, we need to feed 10% of the original number.

so let’s begin with 532 / 28% = 1900

take 10% = 190

add this to the 28% found. 10% + 28% = 532 + 190 = 722

Q30) 20 + 20 + 20 + [ ( 20 ) (20 ) + 20 ( 20 ) + 20 ( 20 ) ] / 100 + 20 ( 20 )(20 ) / 10000 = 72.8%

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