Aptitude Questions: Ratio & Proportion Set 3

Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample in Ratio & Proportion , which is common for all the competitive  exams. We have included Some questions that are repeatedly asked in exams !!

1. The students in 3 classes are in the ratio 3:4:5.If 20 students added in each class, the ratio becomes 5:6:7.Find the total no of students in all the 3 classes now ?
   A.160
   B.170
   C.180
   D.200
   E.None of these
   
   Answer & Explanation

   Answer – C.180
   Explanation :
   5x+6x+7x+ 18x = 180
   X=10
   Check 3x+4x+5x = 12x = 120
   120+60 = 180
   
   
   
2. Two equal containers are filled with water and acid. The concentration of acid in each container is 20% and 30%. What is the ratio of water in both the containers respectively ?
   A.7:8
   B.8:7
   C.6:4
   D.3:2
   E.None of these
   
   Answer & Explanation

   Answer – B.8:7
   Explanation :
   Acid : 20    30
   Water : 80  70 => 8:7
   
   
   
3. A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?
   A.16:5
   B.20:19
   C.18:23
   D.17:21
   E.None of these
   
   Answer & Explanation

   Answer – B.16:5
   Explanation :
   6 step fox=3 step horse = 2:1
   16 step fox=8step horse=5 step fox
   16 step fox=5 step fox
   16:5
   
   
   
4. The ratio of age of Krish  and her mother is 5:12 and difference of their ages is 21. What will be the ratio of their ages after 3 years ?
   A.7:15
   B.11:5
   C.13:7
   D.9:13
   E.None of these
   
   Answer & Explanation

   Answer – D.6:13
   Explanation :
   12x-5x =>7x = 21
   X=21/7 =3
   Present ratio = 15:36
   After 3 years = 18:39 = 6:13
   
   
   
5. A started a business with Rs.32,000 after 4 months B joins with the business by investing Rs.48,000.At the end of the year, in what ratio should share their profit ?
   A.8:7
   B.7:6
   C.5:7
   D.9:5
   E.None of these
   
   Answer & Explanation

   Answer – A.1:1
   Explanation :
   32000*12 : 48,000*8 = 32*12 : 42*8
   384 : 384 = 1:1
   
   
   
6. A working partner gets 25% as his commissions after his commissions paid  that is equal to Rs.7500, then what is the total profit ?
   A.Rs.32,000
   B.Rs.30,000
   C.Rs.37,500
   D.Rs.40,000
   E.None of these
   
   Answer & Explanation

   Answer – C.Rs.37,500
   Explanation :
   X=total profit
   25/100*[x-7500] = 7500
   x-7500 = 7500*100/25 =30,000
   x = 37,500
   
   
   
7. Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture is
   A.45:76
   B.151:269
   C.123:154
   D.145:245
   E.None of these
   
   Answer & Explanation

   Answer – B.151:269
   Explanation :
   Milk = 1/4 : 2/5 :3/7
   = 35/140 :56/140 : 60/140
   Quantity of milk in new mix = 35+56+60 = 151
   Quantity of water in new mix = 140*3 = 420-151 = 269
   M:W = 151:269
   
   
   
8. The speed of P, Q and R are in the ratio of 2:3:6, what is the ratio of time taken by each one of them for the same distance ?
   A.5:7:2
   B.3:2:4
   C.1:2:3
   D.3:2:1
   E.None of these
   
   Answer & Explanation

   Answer – D.3:2:1
   Explanation :
   Speed = ½ : 1/3: 1/6
   = 3/6:2/6:1/6
   Time = 3:2:1
   
   
   
9. The ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of  Y?
   A.9000
   B.7000
   C.12000
   D.15000
   E.None of these
   
   Answer & Explanation

   Answer – A.9000
   Explanation :
   X’s saving = Expenditure of Y = S
   4x-S + S = 12000
   X = 3000
   3x =3*3000 =  9000
   
   
   
10. When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ?
    A.11:13
    B.7:9
    C.4:7
    D.Can’t be determined
    E.None of these
    
    Answer & Explanation

    Answer – D.Can’t be determined
    Explanation :
    X+7/y+7 = 13/19 x and y are different variable ,so original fraction cannot be determined
    
    
    

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