Ratio Questions and Answers

$text{Share of C} = 1-frac{5}{16}-frac{7}{12}=frac{5}{48}$

 $= frac{1}{2}:frac{2}{3}:frac{3}{4}$

or 

$frac{1}{2} times12:frac{2}{3}times12:frac{3}{4}times12=6:8:9$

$therefore text{ parts are}$

$frac{6}{6+8+9}times391=102 ,$

$frac{8}{6+8+9}times391=136$

$text{and}$

$frac{9}{6+8+9}times391=153$

$=x + y = 20$

$=x - y = 2.5$

$text{Find } x text{ and } y$

$= 6 : 8 = 9 : x$

$= 6x = 72$

$= x = frac{72}{6}$

$x = 12$
 

Ratio of the shares of A, B and C
= Rs. 1 : 65 P : 40 P or 100 : 65 : 40 or 20 :  13 : 8
But C's share is 8, so the whole sum
=20 + 13 + 8 = 41

Let 1 be the field, Share of B and C $=1-frac{3}{7}=frac{4}{7}$

Since B has twice as much as C, divide $frac{4}{7}$ in the ratio 2 : 1,

B's share $frac{2}{3}timesfrac{4}{7} = frac{8}{21}$ and

C's share $frac{1}{3}timesfrac{4}{7}=frac{4}{21}$

$=frac{2}{3}times 1260 : 0.6 times 2100 = 2:3$

Other part $frac{9 times 20} {8} = 22.50$

$text{ First part } = frac{2}{2+7} times 225 = 50$

$text{ Second part } = frac{7}{2+7} times 225 = 175$

$=x times 0.7 = y times 0.05$

$therefore frac{x}{y} = frac{.75}{.7} = frac{75}{700} = frac{3}{28}$