# Quantitative Aptitude: Ratio and Proportion Questions Set 9

1. Number of persons in 9th and 10th class is in ratio of 6:11.40% in class 9th are females and 48% in class 10th .What percentage of persons in both the classes are males?
54.80%
63.50%
55.50%
59.25%
None of these
Option A
Total persons=6x+11x=17x
Males in class 9th=(60/100)*6x=360x/100
Males in class 10th=(52/100)*11x=572x/100
Sp total persons-=360x/100 + 572x /100

2. Consider two alloys X and Y.50 kg of alloy X is mixed with 70kg of alloy Y. X contains bronze and aluminum in ratio 3:2 , and Y contain them in ratio 4:3 respectively.What is the ratio of aluminium to bronze in the mixture?
2:5
3:4
5:7
1:5
None of these
Option C
Bronze in X=3/5 *50=30
Bronze in Y=4/7*70=40
tOTAL Bronze=30+40=70
So luminum in mixture is (50+70) -70=50 kg
So aluminum to brass is 50:70

3. Two alloys contains aluminum and copper in ratio 3:7 and 7:3 respectively.In what ratio these alloys must be mixed with each other so that we can get a alloty of aluminnum and silver in ratio of 2:3?
2:5
3:4
3:1
1:2
None of these
Option C
Aluminum =3/10 and copper =7/10 – first vessel
Aluminum =7/10 and copper=3/10-scond vessel
Let the alloy mix be k:1,
(3k/10 +7/10) / (7k/10 +3/10) = 2/3

4. If 40% of number is subtracted from the second number then the second number is reduced to 3/5.Fi d the ratio between first number and second number ?
1:2
1:8
1:5
1:1
None of these
Option D

5. A company TCS reduces hs employee in ratio 14:12 and increases his wages in ratio 16:18 .Detrmine whetehr bill of wages increaes or not and in what ratio?
Decreaese and 24:22
Increaese and 25:26
Decreases and 28:27
Increeses and 27:95
None of these
Option C

6. A vessel contins X and Y in ratio 4:5. 36 litres of mixture is taken out and and filled with 36 litre of Y.Now the ratio changes to 2:5.Find the quantity of Y initially?
54 l
56 l
58 l
60 l
65 l
Option B
Let X=4x and Y=5x
Now X=4x-36*4/9
Y=5x-36*5/9
Ratio between X and Y=2:5

7. 50 litres of the mixture contains coke and water in ratio of 2:3.Hiw much cock should be added to mixture so that it contins coke and water in proportion of 3:2?
35 l
30 l
25 l
22 l
None of these
Option C
=(20+x)/30 =3/2

8. Two alloys contain aluminum and silver in ratio of 1;2 and 1:3 respectively.A third alloy Z is formed by mixing alloys one and alloys two in ratio 3:4.Find the percentge of silver in the mixture?
71.3/7%
72.5/8%
75.5/8%
71.5/4%
None of these
Option A
Aluminum =1/3 and 1/4
Silver=2/3 and 3/4
Therefore,silver perentage =(5/7)*100

9. Two diyas of same height are lighted at same time,The first is consumed in 6 hours and second in 4 hours.Assuming that each diyas burns at a constant rate,in how many hours after being lighted,the ratio between the first and second diyas becomes 2:1?
1 hours
3 hours
2 hours
4 hours
None of these
Option B
Let height be h and let after t times ratio between height 2;1
=h-t*h/6 : h-t*h/4 =2:1
t=3

10. The ratio of two numbers is 3:4.If three is subtracted from both numbers,the ratio becomes 1:2.What is the sum of two numbers?
15
12
10.5
10
None of these
Option C
(3x-3)/(4x-3)=1/2