Wiley Edge Ratio and Proportions Quiz-3

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

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}

Explanation:

x=\sqrt{16\cdot25}

x^{2}=20^{2}=400

Explanation: 

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

Explanation:

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

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

Explanation:

Third proportion= \frac{x^{2}}{12}

12=\frac{x^{2}}{12}

\frac{x^{2}}=144

x=12

 

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

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}

Explanation:

Second number=\frac{60}{3}\times 4=80