Quants Questions : Percentage Set 4

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1. From the salary, Akilesh spent 15% for house rent, 5% for children’s education and 15% for Entertainment. Now he left with Rs.13,000. His salary is
   A)19,000
   B)20,000
   C)18,000
   D)15,000
   

   Answer

   B)20,000
   Explanation :
   10+15+10 = 35%
   100-35 = 65% = 13,000
   100% = 100*13000/65 = 20,000
   
   
   
2. In a School, 40% of the students are female and thus the no of boys exceed the no of girls by 40.Find the total no of students.
   A)190
   B)100
   C)200
   D)180
   

   Answer

   C)200
   Explanation :
   60x -40x = 40
   X = 40/20 = 2
   100*2 = 200
   
   
   
3. In an examination 30% of the students failed in Science, 45% of the students failed in Maths and 25% of the students failed in both subjects. Find the % of the students passed ?
   A)60%
   B)30%
   C)45%
   D)50%
   

   Answer

   D)50%
   Explanation :
   % of students failed = 30+45-25 = 50%
   % of students passed = 100-50 = 50%
   
   
   
4. In an examination Ammu scored 56% marks, Saran scored 90% marks and Rima scored 650 marks that is 65% then find the total marks of three students ?
   A)2110
   B)1250
   C)2450
   D)2010
   

   Answer

   A)2110
   Explanation :
   95% = 650
   100% = 100*650/65 = 1000
   56% = 560
   90% =  900
   Total = 650+560+900 = 2110
   
   
   
5. The salary of  a workers increased by 15% and decreased by 7%, What % change rises in his salary ?
   A)10%
   B)7%
   C)5%
   D)8%
   

   Answer

   B)7%
   Formula : x-y-(xy/100)
   Explanation :% = 15 -7 – [(15*7)/100] = (800 – 105)/100 = 6.95 = 7%
   
   
   
6. The population of a village is decreased by 12% and  10% in 2 successive years. What % population is decreased after 2 years ?
   A)18.4%
   B)30.6%
   C)20.8%
   D)23.5%
   

   Answer

   C)20.8%
   Explanation :
   % = -12 -10 + (-12*-10)/100
   = (-2200 + 120)/100
   = – 2080/100 = -20.8%
   
   
   
7. In an examination, 30% of the maximum marks required to pass. A student get 120marks and failed by 90marks. Find the maximum marks
   A)800
   B)720
   C)650
   D)700
   

   Answer

   D)700
   Explanation :
   30x/100 = 120+90 = 210
   X = 210*100/30 = 700
   
   
   
8. P’s income is 20% more than Q’s income. How much % Q’s income less than P’s income ?
   A)18.54%
   B)16.67%
   C)17.76%
   D)15.75%
   

   Answer

   B)16.67%
   Explanation :
   B income = 100
   A income = 100*120/100 = 120
   % = (120-100/120)*100 = 16.67%
   
   
   
9. The price of rice is increased by 15%. The percentage of reduction that a family should effect in that use of rice, so as not to increase the expenditure is
   A)13%
   B)10%
   C)15%
   D)17%
   

   Answer

   A)13%
   Formula : x*100/x+100
   Explanation :Reduction % = 15*100/100+15 = 1500/11513.04 = 13%
   
   
   
10. The value of commodity depreciated 20% annually. If the value of commodity 3yrs ago was Rs.10,500,Find it’s present value ?
    A)3678
    B)5700
    C)4567
    D)5376
    

    Answer

    D)5376
    Explanation :
    Present value    = 10,500*80*80*80/100*100*100
    = 10500*8*8*8/1000
    = 5376
    
    
    

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