Quants Questions : Percentage Set 1

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1. What percent of a day in 6 hours?
   1.25%
   2.52%
   3.50%
   4.5%
   
   Answer & Solution

   Ans: A) 25%
   Solution:(6/24)×100=25%
   
   
2. Two-fifth of one-third of three seventh of a number is 15.What is 40% of that number?
   1.501
   2.105
   3.525
   4.150
   
   Answer & Solution

   Ans : B) 105
   Solution:(2/5)(1/3)(3/7)×x=15.
   X=(15×(7/3)×(5/2)×3)=525/2.
   40% of x=(40/100)(525/2)=>105.
   
   
3. The population of of a town is 176000.If it increase at the rate of 5% per annum,what will be it’s population 2 years hence?
   1.194000
   2.194040
   3.190440
   4.194104
   
   Answer & Solution

   Ans: B) 194040
   Solution:176000×(105/100)(105/100)=88×105×21=194040.
   
   
4. The length and breath of a rectangle are increased by 20% and 30%.The area of the resulting rectangle exceeds the area of the original rectangle?
   1.50%
   2.65%
   3.56%
   4.156%
   
   Answer & Solution

   Ans: C)56%
   Solution:(120/100) ×(130/100) ×100=156.
   156-100=56.
   
   
5. Water tax is is increased by 20% but its consumption is decreased by 20%.Then increase or decrease in the expenditure of the money is
   1.40%
   2.4%
   3.96%
   4.None of the above.
   
   Answer & Solution

   Ans: B) 4%
   Solution:((20×20)/100)=4.
   
   
6. Sugar contain 5% water .What quantity of pure Sugar should be added to 10 litres of water to reduce this to 2%.
   1.5lit
   2.6lit
   3.10lit
   4.15lit
   
   Answer & Solution

   Ans: D) 15lit
   Solution:0.5/(x+10)=2/100.
   2x=30
   X=15.
   
   
7. In an election between 2 candidates,Candidate who gets 40% of the total vote defeated by 15000.The no of votes polled by winner
   1.10000
   2.45000
   3.30000
   4.6000
   
   Answer & Solution

   Ans: B) 45000
   Solution:40%-looser,60%-winner, defeated 15000=20%
   Winner=60%=15000×3=45000.
   
   
8. The price of a fan is decreased by 20%.as a result of wh ich the sale increased by 40%.What will be the effect on the total revenue of the shop?
   1.12%
   2.10%
   3.20%
   4.30%
   
   Answer & Solution

   Ans: A) 12%
   Solution:Original revenue=100×100=10000.
   After 20% decrease=80×140=11200.
   Hence [(11200-10000)/10000] ×100=[1200/10000] ×100
   =12%.
   
   
9. Raj save 10%,after 2 years when his income is increased by 10%,he could save the same money then how much his expenditure increased?
   1.10%
   2.20%
   3.5%
   4.15%
   
   Answer & Solution

   Ans: A) 10%
   Solution:Let income=100,saving=10 and expenditure=90.
   New income=110,saving=11 and e=99.
   E increased %=[(99-90)/90] ×100=(9/90)×100=10%.
   
   
10. If x% of y is equal to z then what percentage of z is x?
    1.y²  /100
    2.x  ²/100
    3.100²/y
    4.100²/x
    
    Answer & Solution

    Ans: C) 1002/y
    Solution:(x/100)y=z;
    (x/z)=(100/y).
    (x/z) ×100=100×(100/y)=>1002/y.