Quantitative Aptitude

Ratio and Proportion

775 Questions
All Dividing a total in a given ratio 393 Income, expenditure, and equal-savings equations 117 Ratio changes with constant sum/difference 89 Combining ratios 72 Finding a missing term in a proportion 54 Direct, inverse, and power variation 29 Mean proportional 9 Compound, duplicate, and root ratios 8 Componendo and dividendo 2

Ratio and Proportion Questions

Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

Current liabilities of a company were Rs. 1,75,000 and its current ratio was 2: 1. It paid Rs. 30,000 to a creditor. Calculate current ratio after payment :

  1. 2: 1

  2. 1: 1

  3. 1: 5: 1

  4. 2.21: 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given,
Current liabilities = Rs-1,75,000
Current Ratio = 2:1

If 30,000 is paid to a creditor it will reduce both current assets as well as current liabilities as cash is being paid and creditors are reduced. Hence, new ratio will be:- 

Current Ratio = Current Assets
                       -------------------------     
                        Current liabilities

                      =  3,50,000 (WN 1) - 30,000

                         --------------------------------------
                           1,75,000 - 30,000
                      = 3,20,000
                          --------------
                          1,45,000
                     = 2.2 : 1

Working note 1) = Current assets 
Current Ratio = Current Assets

                       -------------------------     
                        Current liabilities
Current Assets = Current liabilities x current ratio 
                         = 1,75,000 x 2
                         = 3,50,000.

                  

Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

Given that,
Current Ratio = 2.5
Acid-test ratio = 1.5
Net working capital = Rs. 60,000
The value of current liabilities will be ___________ .

  1. Rs. 15,000

  2. Rs. 40,000

  3. Rs. 60,000

  4. Rs. 1,00,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given,
Current ratio = 2.5 : 1
Quick Ratio = 1.5 : 1
Net working capital  = 60,000

Net working capital = Current assets - Current liabilities
Current Assets        = Net working capital + Current liabilities
                                 = 60,000 +  Current liabilities (1) 
Current ratio           = Current assets
                                 -------------------------
                                 Current liabilities
Current Assets      = Current liabilities x 2.5 (2) 
Merging equation (1) and (2)
60,000 + Current liabilities = 2.5Current liabilities 
60,000                                 = 2.5 current liabilities - Current liabilities
60,000                                 = 1.5 Current liabilities
Current liabilities                 = 60,000
                                              --------------
                                                1.5 
                                              = 40,000 
Therefore, current liabilities = 40,000. 
Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

Current Ratio $2.5$, Liquid Ratio $1.5$ and Working Capital $Rs. 60,000$. What is  the amount of Current Assets?

  1. $Rs. 60,000$
  2. $Rs. 80,000$
  3. $Rs. 1,00,000$
  4. $Rs. 1,20,000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Current Ratio = Current Assets (C.A)/ Current Liabilities (C.L)  = $2.5$

So, CA= $2.5$ CL

Now, Working Capital = Current Assets(C.A) minus Current Liabilities (C.L) = $Rs.60000$
So, C.A - C.L = $60000$
       $2.5$ C.L-CL = $60000$
        C.L = $Rs. 40000$

Now, C.A = $2.5$ x $40000$ = $Rs. 100000$

Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

Quick ratio is 1.8:1, current ratio is 2.7:1 and current liabilities are Rs. 60,000. Determine value of stock.

  1. Rs. 54,000

  2. Rs. 60,000

  3. Rs. 1,62,000

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
QA = Quick assets; CL = Current liabilities; CA = Current assets
QA = 1.8 x CL
QA = 1.8 x Rs. 60,000
QA = Rs. 1,08,000
CA = 2.7 x CA
CA = 2.7 x Rs. 60,000
CA = Rs. 1,62,000
Stock = CA - QA
Stock = Rs. 1,62,000 - Rs. 1,08,000
Stock = Rs. 54,000
Hence, the value of stock is Rs. 54,000.
Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

'X' Ltd. has a liquid ratio of 2:1. If its stock is Rs. 40,000 and its current liabilities are of Rs. 1 Lakh, What will be the current ratio________.

  1. 1.4 times

  2. 2.4times

  3. 1.2 times

  4. 3.4 times
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Liquid Ratio = [Current Assets minus Stock]/ Current Liabilities

             2      = [Current Assets - $40000$]/ $100000$
        $200000$ = Current Assets - $40000$
Therefore Current Assets = $Rs.240000$
Now,
Current Ratio = Current assets/Current liabilities
                        = $240000/100000$
                         = $2.4$ times

Multiple choice elements of accounts ratio analysis liquidity ratios accounting ratio's accounting ratios

Given current ratio = $2.5$
Quick ratio = $1.5$
Net working capital = Rs $30,000$
What is the amount of stock?

  1. $Rs 20,000$
  2. $Rs 30,000$
  3. $Rs 50,000$
  4. $Rs 60,000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Net working capital = Current assets - Current liabilities
$Rs. 30000$ = Current assets - Current liabilities
Therefore, Current assets = Current liabilities + $Rs. 30000$
Current ratio = Current assets/ Current liabilities
$2.5$ = [Current liabilities + $Rs. 30000$] / Current liabilities
 $2.5$ Current liabilities  = Current liabilities + $Rs. 30000$
Current liabilities = $Rs. 30000/ 1.5$
Therefore, Current liabilities = $Rs. 20000$
Now,
Current assets = Current liabilities + $Rs. 30000$
                          = $Rs.20000 + Rs. 30000$
                          =$Rs. 50000$
Now, Quick Ratio = Quick Assets/ Current liabilities
                     $1.5$   = Quick Assets/ $20000$
Therefore,
                  Quick Assets = $Rs. 30000$
Quick Ratio = Quick Assets/ Current liabilities
Quick Ratio = [Current Assets - Stock ]/ Current liabilities
            $1.5$ = [$50000$ - Stock] / $20000$
Stock = $50000 - 30000$
          = $Rs. 20000$
Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

A sum of $Rs.350$ is to be divided between $A$ and $B$ in the ratio $3:4.$ If the amount distributed in the ratio $4:3$ the amount gained by $A$ is 

  1. $Rs.10$
  2. $Rs.30$
  3. $Rs.50$
  4. $Rs.100$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Let $A$ got $3x$ and $B$ got $4x$. Then,

$3x+4x=350$

$7x=350$

$x=50$

Therefore, $A$ got $150 Rs.$ and $B$ got  $200 Rs.$.

If the ratio was $4 : 3,$ $A$ got $Rs. 200$ and $B$ got $Rs. 150$.

Therefore, the amount gained by $A = Rs. 50$

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

Instead of dividing $Rs.\,117$ among $P,Q,R$ in the ratio $\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}\colon\displaystyle\frac{1}{4}$, by mistake it was divided in the ratio $2\,\colon\,3\,\colon\,4$. Who gained in the transaction? 

  1. only $P$
  2. only $Q$
  3. only $R$
  4. both $Q$ and $R$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Desired ratio $=\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}\colon\displaystyle\frac{1}{4}=\displaystyle\frac{1}{2}\times12\colon\displaystyle\frac{1}{3}\times12\colon\displaystyle\frac{1}{4}\times12$
$\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;=6\colon4\colon3$
Ratio by mistake $=2\colon3\colon4=6\colon9\colon12$
Hence, it is clear that both $Q$ and $R$ gained in the transaction.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

A man encashes a cheque of $Rs. 600$ from a bank. The bank pays him money in $10$ rupee notes and $5$ rupee notes only, totalling $72.$ The ratio of the number of $10$ rupee notes to that of $5$ rupee notes is

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

Let the number of 10 rupee notes = x. Then,
Number of 5 rupee notes = 72 - x
Given, $x \times 10 + 5 (72 - x) = 600$
$\Rightarrow 10x + 360 - 5x = 600 \Rightarrow 5x = 240 \Rightarrow x = 48$
$\therefore$ Required ratio $= \displaystyle \frac{48}{(72 - 48)} = \frac{48}{24} = \frac{2}{1} =2 : 1$

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

If Rs. $60$ is divided into two parts in the ratio $2 : 3,$ then the difference between those two parts is ______

  1. Rs. $10$
  2. Rs. $12$
  3. Rs. $5$

  4. none
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rs. $60$ is divided into two parts $2:3$.
Their sum is $2+3=5$.
Thus first part is $60\, \times\, \displaystyle \frac {2}{5} =$ Rs. $24$
and second part will be $60\, \times\, \displaystyle \frac {3}{5}\, =$ Rs. $36$.
Therefore, difference will be $ 36 - 24 =$ Rs. $12$.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

An amount of money is to be divided among $P, Q$ and $R$ in the ratio $4 : 7 : 9.$ If the difference between the shares of $Q$ and $R$ is Rs. $500,$ what will be the difference between the shares of $P$ and $Q$?

  1. Rs. $500$
  2. Rs. $1000$
  3. Rs. $750$
  4. Rs. $850$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the shares of $P, Q$ and $R$ be Rs. $ 4x$, Rs. $7x$ and Rs. $ 9x$ respectively. 

Then, $9x - 7x = 500$
$\Rightarrow 2x = 500$
$ \Rightarrow x = 250$
$\therefore$ required difference $= 7x - 4x = 3x = 3 \times 250 =$ Rs. $750$.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

If Rs 782 be divided into three parts proportional to $\dfrac{1}{2} : \dfrac{2}{3} : \dfrac{3}{4} $ then the first part is

  1. $Rs.\ 182$
  2. $Rs.\ 190$
  3. $Rs.\ 196$
  4. $Rs.\ 204$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given ratio = $\dfrac{1}{2} : \dfrac{2}{3} : \dfrac{3}{4} $     ...............   Multiplying by $12$ 


                    = $6:8:9$


$\therefore$ 1st part = Rs. $\left ( 782 \times \dfrac{6}{23} \right )$ = Rs. $204$

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

If Rs. $2,600$ is divided among three persons $A, B$ and $C$ in the ratio $\dfrac {1}{2} : \dfrac {1}{3} : \dfrac {1}{4}$, how much does $A$ get?

  1. Rs. $ 600$
  2. Rs. $ 800$
  3. Rs. $ 1.000$
  4. Rs. $ 1,200$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Among three persons Rs. $2600$ is divided in the ratio as $\dfrac {1}{2}, \dfrac {1}{3}, \dfrac {1}{4}$.
LCM of $\dfrac {1}{2} : \dfrac {1}{3} : \dfrac {1}{4} $ is $ 6 : 4 : 3$.
Therefore, $A$'s share $= \dfrac {6}{13} \times  2,600 =$ Rs. $1,200$.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

Divide Rs.$3600$ between Satya and Vishnu in the ratio of $3:5$. Then Vishnu gets money -

  1. Rs.$2,000$
  2. Rs.$2,250$
  3. Rs.$3,250$
  4. Rs.$3,200$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to the question;

Let Satya get $3x$ and Vishnu get $5x$
Then,
\begin{array}{l} 3x+5x=3600 \ \Rightarrow 8x=3600 \ \Rightarrow x=\frac { { 3600 } }{ 8 }  \ \Rightarrow x=450 \end{array}
Thus Satya gets $3x$=$3\times450=1350$ rupees and Vishnu gets $5x$=$5\times450=2250$ rupees.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

The incomes of A and B are in the ratio $3 : 2$ and their expenditures are in the ratio $5 : 3$.If each saves Rs.$1000$ , then A's income is ______.

  1. Rs.$3000$
  2. Rs.$4000$
  3. Rs.$6000$
  4. Rs.$9000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
$\Rightarrow$  Let income of A and B be $3x$ and $2x$ respectively. Also, their expenditure is $5y$ and $3y.$
$\Rightarrow$  Now, according to question,
$\Rightarrow$  $3x-5y=1000$              ---- ( 1 )
$\Rightarrow$  $2x-3y=1000$          ----- ( 2 )
$\Rightarrow$  Now, multiplying  equation ( 1 ) by 3 and ( 2) by 5.
$\Rightarrow$  $9x-15y=3000$               ---- ( 3 )
$\Rightarrow$  $10x-15y=5000$           ----- ( 4 )
$\Rightarrow$  $x=2000$                [Subtraction equation ( 3 ) from equation ( 4 ) ]
$\Rightarrow$ Then, income of $A$ = $3x=Rs.(3\times 2000)=Rs,.6000.$