Wiley Edge Ratio and Proportions Quiz-1

Explanation:

\sqrt{144\times 64}=96

Option: b
Explanation: initial quantity of milk = 3\times x
Initial quantity of water = 2\times x
\frac{3x}{2x+20} =\frac{3}{4}
12\times x=6\times x +60
6\times x=60
x=10
Initial quantity of water=2\times 10=20

Option: b
Explanation: ratio of contributions of A and B = \frac{1200}{3600}=\frac{1}{3}
Ratio of profits of A and B = \frac{1\times 1}{3\times 1}=\frac{1}{3}
Share of A = \frac{4000}{1+3}\times 1=\frac{4000}{4}=1000

Option: b
Explanation:
A’s share[/latex]=5\times x[/latex]
B’s share=2\times x
C’s share=4\times x
D’s share=3\times x
\left ( 4\times x \right )-\left ( 3\times x \right )=2000
x=2000
A’s share=5\times 2000=10000

Option: d
Explanation:
Let the water to be added be x litres.
Initially milk=\frac{60}{5}\times 2=24 litres
Initially water=\frac{60}{5}\times 3=36 litres
\frac{24}{36+x}=\frac{3}{2}
48=108+3\times x
3\times x=60
x=20
So, 20 litres of water to be added.

Option: a
Explanation:
Ratio of A and B Share=\frac{1200}{2000}=\frac{3}{5}
Ratio of profits = \frac{3\times 12}{5\times 15}=\frac{12}{25}

Option: b
Explanation:
Let two numbers are x and y.
frac{140}{100}\times x=\frac{120}{100}\times y
\frac{y}{x}=\frac{140}{120}=\frac{7}{6}

Option: d
Explanation:
No. of 50p coins=2\times x
No. of 1Rs coins=3\times x
\left ( 50\times 2\times x \right )+\left ( 100\times 3\times x \right )=1200<br /> 100\times x+300\times x=1200<br /> 400\times x=1200<br /> x=3<br /> No. of 1Rs coins=3\times 3=9

Option: a
Explanation:
No. of boys=\frac{1100}{5+6}\times 5=500
No. of girls=\frac{1100}{5+6}\times 6=600
Increased boys=\frac{10}{100}\times 500=50
Increased boys=\frac{50}{100}\times 600=300
Total strength =\left ( 500+50 \right )+\left (600+300\right)=550+900=1450

Option: c
Explanation:
A’s share=\times x
B’s share=2\times x
C’s share=3\times x
D’s share=4\times x
\left ( 3\times x \right )-\left ( 2\times x \right )=1000
x=1000
D’s share=4\times 1000=4000