Wiley Edge Ratio and Proportions Quiz-2

Option: a
Explanation:
Let two numbers are x and y.
\frac{40}{100}\times x=\frac{10}{100}\times y
\frac{y}{x}=\frac{40}{10}=\frac{4}{1}

Option: b
Explanation:
x=\sqrt{16\cdot25}
x^{2}=20^{2}=400

Option: a
Explanation:
Share of B=\frac{1260}{5+1+3}\times 1=\frac{1260}{9}=140

Option: c
Explanation:
No. of males=\frac{550}{6+5}\times 6=\frac{550}{11}\times 6=300

Option: b
Explanation: initial quantity of milk = 3\times x
Initial quantity of water = 2\times x
\frac{2x}{x+10} =\frac{2}{3}
6\times x=2\times x +20
4\times x=20
x=5
Initial quantity of water=5

Option: d
Explanation:
Third proportion= \frac{x^{2}}{12}
12=\frac{x^{2}}{12}
\frac{x^{2}}=144
x=12

Option: b
Explanation:
\frac{4\times A}{15}=\frac{2\times B}{5}
Ratio of A and B=\frac{3}{2}
B share=\frac{600}{3+2}\times 2=240

Option: a
Explanation:
Seats for mathematics=100
Seats for physics=200
Seats for mathematics after increment=100+\frac{20}{100}\times 100=120
Seats for physics after increment=200+\frac{40}{100}\times 100=280
New ratio=\frac{120}{280}=\frac{3}{7}

Option: c
Explanation:
Second number=\frac{60}{3}\times 4=80

Option: a
Explanation:
Ratio of A and B Share=\frac{6000}{8000}=\frac{3}{4}
Ratio of profits = \frac{3\times 6}{4\times 12}=\frac{3}{8}