Tag: more on proportion

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Questions Related to more on proportion

Multiple choice maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

Solve it:-
$a:b$=$5:8$ +$b:c$=$16:25$
Find  $a:c.$

  1. $6:625$
  2. $6:825$
  3. $9:625$
  4. $6:25$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\dfrac{a}{b}=\dfrac58+\dfrac bc=\dfrac{16}{25}$


Hence, $a=\dfrac{16}{25}b\\dfrac bc=\dfrac{16}{25}-\dfrac58\Rightarrow c=\dfrac{b*25*8}{3}$

Now, $a:c=\dfrac ac=\dfrac{\dfrac{16}{25}b}{\dfrac{b\times25\times8}{3}}=\dfrac{6}{625}$

Multiple choice maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of $2$ to $3$ to $5$, respectively, by weight. What fraction of the mixture by weight is pineapple?

  1. $\dfrac{1}{5}$
  2. $\dfrac{3}{10}$
  3. $\dfrac{2}{5}$
  4. $\dfrac{1}{2}$
  5. $\dfrac{2}{3}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given,
A fruit salad is made from pineapples,pears and peaches mixed in the ratio $2:3:5$ respectively by weight
total weight of mixture as per ratio is $\left( 2+3+5 \right) =10$
Fraction of weight in  mixture  pineapple will be $\dfrac { 2 }{ 10 } =\dfrac { 1 }{ 5 } $
Multiple choice maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

In a family, the father took $\displaystyle\frac{1}{4}$ of the cake and he had $3$ times as much as each of the other members had. The total number of family members is ___________.

  1. $3$
  2. $7$
  3. $10$
  4. $12$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Let the number of family members $=x$

fraction of cake the father took $=\dfrac{1}{4}$

fraction of cake  other members had $ =\dfrac{3}{4}$

fraction of cake  EACH  other members had $ =\dfrac{3}{4(x-1)}$

given that :
fraction of cake the father took was 3 times   as much as each of the other members had.
$\Rightarrow  \dfrac{1}{4}=3 \times \dfrac{3}{4(x-1)}$

$\Rightarrow x-1 = 9$
$\Rightarrow x = 10 $

the number of family members are  $=10$