Aptitude Questions: Ratio & Proportion Set 9

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 !!

Questions Penned by Yogit

1. In a school the number of boys and girls are in the ratio of 4:7. If the number of boys are increased by 25% and the number of girls are increased by 15%. What will be the new ratio of number of boys to that of girls?
   a) 100:131
   b) 100:151
   c) 100:161
   d) 100:181
   e) None of these
   
   Answer & Explanation

   Answer – c) 100:161
   Explanation :
   Boys = 4x and girls = 7x
   Ratio = 4x*125/100 : 7x*115/100 = 100:161
   
   
   
2. When 40% percent of a number is added to another number the second number increases to its 20%. What is the ratio between the first and second number?
   a) 2:1
   b) 1:2
   c) 2:3
   d) 3:4
   e) None of these
   
   Answer & Explanation

   Answer – b) 1:2
   Explanation :
   (40/100)*a + b = (120/100)*b
   a:b = 1:2
   
   
   
3. An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share?
   a) 2000
   b) 4000
   c) 6000
   d) data inadequate
   e) None of these
   
   Answer & Explanation

   Answer – d) data inadequate
   Explanation :
   Total sum not given
   
   
   
4. Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1?
   a) 1 hour
   b) 2 hour
   c) 3 hour
   d) 4 hour
   e) None of these
   
   Answer & Explanation

   Answer – c) 3 hour
   Explanation :
   Let height of both candles is ‘h’ and let after t times ratio between the height be 2:1
   h – t*h/6 : h – t*h/4 = 2:1
   t = 3
   
   
   
5. An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.
   a) increases 20:21
   b) decreases 21:20
   c) increases 21:22
   d) decreases 22:21
   e) None of these
   
   Answer & Explanation

   Answer – b) decreases 21:20
   Explanation :
   Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y
   so total wage = 21xy initially and then 20xy
   so wages decreases and ratio = 21:20
   
   
   
6. A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4.  How much milk was there in the vessel initially?
   a) 24
   b) 32
   c) 40
   d) 48
   e) None of these
   
   Answer & Explanation

   Answer – b) 32
   Explanation :
   milk = 4x and water = 3x
   milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14
   4x – 8: 3x + 8 = 3:4
   X = 8, so milk = 8*4 = 32 litres
   
   
   
7. The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio becomes 1:2. Find the sum of the two numbers? 
   a) 9
   b) 10.5
   c) 11.5
   d) 12
   e) None of these
   
   Answer & Explanation

   Answer – b) 10.5
   Explanation :
   (3x – 3)/(4x – 3) = ½
   x = 1.5
   sum of the numbers = 7*1.5 = 10.5
   
   
   
8. The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number?
   a) 21
   b) 35
   c) 42
   d) 56
   e) None of these
   
   Answer & Explanation

   Answer – c) 42
   Explanation :
   a: b = 2:3 and b:c = 4:5
   a:b:c = 8:12:15
   Difference between first and third number  = (7/35)*210 = 42
   
   
   
9. A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then find the total amount in rupees.
   a) 220
   b) 240
   c) 260
   d) 280
   e) None of these
   
   Answer & Explanation

   Answer – d) 280
   Explanation :
   Value is given in the ratio 8:4:2.
   (8x/0.25) + (4x/0.5) + (2x/1) = 840.
   X = 20. Total amount = 14*20 = 280
   
   
   
10. The income of Neha and Hitesh are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
    a) 4000, 6000
    b) 4000, 5000
    c) 5000, 4000
    d) 5000, 6000
    e) None of these
    
    Answer & Explanation

    Answer – b) 4000, 5000
    Explanation :
    4x – 2y = 2000 and 5x – 3y = 2000.
    X = 1000, so income = 4000 and 5000
    
    
    

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