Tag: ratio, proportion and unitary method

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Questions Related to ratio, proportion and unitary method

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

In a box, the ratio of the number of red marbles to that of blue marbles is $4 : 7$. which of the following could be the total number of in the box?

  1. $14$
  2. $21$
  3. $22$
  4. $28$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$With\quad ratios,add\quad all\quad the\quad parts\quad together\quad to\quad get\quad a\quad total.In\quad this\quad case,it\quad is\quad 4red\quad and\quad 7blue.$


$7+4=11.$

$Therefore,the\quad lowest\quad total\quad number\quad of\quad marbles\quad is11.The\quad answer\quad will\quad be\quad any\quad number\quad divisible\quad by\quad 11.$

$Hence\quad it\quad is\quad 22.$

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

The ratio of $\left(\displaystyle\dfrac{1}{3}\text{ of Rs. }9.30\right)$ to $(0.6\text{ of Rs. }1.55)$ is ___________.

  1. $1:3$
  2. $10:3$
  3. $3:10$
  4. $3:1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\displaystyle\frac{1}{3}$ of Rs. $9.30=Rs. \left(\displaystyle\frac{1}{3}\times 9.30\right)=Rs. 3.10$
$0.6$ of Rs. $1.55=$Rs. $(0.6\times 1.55)=$ Rs. $0.93$
$\therefore$ Required ratio$=3.10:0.93=10:3$.

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

Cost of a candy is $50$ paise and cost of an ice cream is Rs. $20$, then the ratio of the cost of a candy to the cost of an ice-cream is __________.

  1. $40:1$
  2. $1:40$
  3. $1:20$
  4. $1:15$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost of $1$ candy $=50$ paise
Cost of $1$ ice-cream $=Rs. 20=20\times 100$ paise
$=2000$ paise
$\therefore$ Required ratio $=50:2000=1:40$.

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

Out of $30$ students in a class, $6$ like football, $12$ like cricket and remaining like tennis. The ratio of number of students who like tennis to the total number of students, is:

  1. $2:3$
  2. $5:1$
  3. $2:5$
  4. $5:2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Total number of students$=30$
Number of students who like football$=6$
Number of students who like cricket$=12$
$\therefore$ Number of students who like tennis $=30-6-12=12$
$\therefore$ Required ratio $=12:30=2:5$.