InfyTQ Ratio and Proportion Quiz 2

Solution:
L/M=2/3
M/N=1/4=3/12
L:M:N= 2:3:12
Number of questions solved by M = (3/17) x 1190 = 210

Solution:
Zinc quantity =\frac{6}{17} x 850= 300 kg

Solution:
\frac{(3x+9)}{(4x+9)} =\frac{4}{5}
15x +45 = 36 + 16x
x = 9
1st Number = 3x = 3 x 9 = 27
2nd Number = 4x = 4 x 9 = 36

Solution:
Let numerator = x & denominator = y
After 200% increased, Numerator = 3x
After 100% increased, denominator = 2y
\frac{3x}{2y}=\frac{9}{4}
\frac{x}{y}=\frac{3}{2}

Solution:
\frac{G}{B} =\frac{5}{6}
=\frac{5x}{6x} = \frac{\text{ Actual No.of Girls }}{\text{ Actual No.of Boys }}
By given,
\frac{5x-2}{6x+8} = \frac{7}{11}
42x+56=55 x-22
x = 6
Actual No. of Boys = 6 x = 6x6 = 36
No. of Boys Now = 36 + 8 = 44

Solution:
\frac{P}{Q} = \frac{16}{21}
After change in values,
\frac{16+24}{21+21} = \frac{40}{42} = \frac{20}{21}

Solution:
\frac{\text{ Bike Z }}{\text{ Bike M }} = \frac{5x}{7x}
\frac{5x}{7x+25000} = \frac{25}{36}
x= 125000
Price of bike Z = 5x= 5 x 125000 = 6,25,000

Let the prices of two house A and B was 4x and 5x respectively last year
Then the price of this year A = 4x*1.25 and that of B 5x + 50000
This year ratio of their price 9 : 10
(4x*1.25)/(5x + 50000) = 9/10
50x - 45x = 450000
x = 90000
Hence the price of A last year was = 4*90000 = Rs 360000

Solution:
Taking Income as Rs 100

Now according to the Question:

\frac{1}{4}^{th}part was spent on House Rent = Rs 25 was spent

\frac{1}{5}^{th}part was given as charity = Rs 20 was given as charity

Total expenditure = 25 + 20 = 45

Ratio = \frac{100}{45} = 20:9

Solution:

Taking salary of Ruresh be 100 then according to the given question

Rakesh/Suresh=80/100 = 4/5

Suresh/Bhavesh=100/120 = 5/6

Rakesh:Suresh:Bhavesh = 4:5:6