Tag: business maths

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Questions Related to business maths

Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

If a commission $15$% given on the marked price of a book, the publisher gain $19$%. If the commission is not there, the gain of publisher is

  1. $30$%
  2. $20$%
  3. $40$%
  4. $50$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Cost price=CP, Selling price=SP
Marked Price=MP
If $15$% commission on MP is given
$SP=MP-\cfrac { 15 }{ 100 } MP=\cfrac { 85 }{ 100 } MP\rightarrow 1$
Under this condition gain is $19$%
$SP=CP+\cfrac { 19 }{ 100 } CP=\cfrac { 119 }{ 100 } CP\rightarrow 2$
If there is no commission
$S{ P }^{ 1 }=MP$ (MP and CP will not change)
But from $1$ and $2$
$\cfrac { 85 }{ 100 } MP=\cfrac { 119 }{ 100 } CP$
$MP=\cfrac { 119 }{ 85 } CP$
$S{ P }^{ 1 }=MP=\cfrac { 119 }{ 100 } CP=\left( \cfrac { 85+34 }{ 85 }  \right) CP$
$S{ P }^{ 1 }=CP=\cfrac { 34 }{ 85 } CP=CP+\cfrac { 2 }{ 5 } CP$
$=CP+40$% of CP
$\therefore$ Gain for publisher is $40$%
Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

A salesman is allowed $5\%$ commission on the total sales made by him plus a bonus of $1\%$ on the excess of his sale over Rs. $20,000$/-. If the total earnings are Rs. $1,450$/- on commission alone, find his total earnings?

  1. Rs. $100$
  2. Rs. $90$
  3. Rs. $80$
  4. Rs. $110$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given that he makes $1450$ on commission alone.
$\Rightarrow 5$% of Total sales$=1450$
$\cfrac { 5 }{ 100 } \times $ Total$=1450$
Total$=29000$
Given that he earns $1$% on excess of sales of $20000$
Earnings$=1%$ of excess
$=\cfrac { 1 }{ 100 } \times \left( 29000-20000 \right) $
$=90$
$\therefore $He earns Rs.$90$
Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

In a museum, the entrance ticket costs Rs. $250$. In Vacation , the cost of the ticket is reduced, there by increasing the sale by $50$%. but it was found that the collection is decreased by $17.5$ %. what is the deduction in the ticket price?

  1. Rs. $100$
  2. Rs. $112.5$
  3. Rs. $1000$
  4. Rs. $1225$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Let there is sell of $100\ tickets.$

So, total Collection $= 250 \times 100 = Rs.\ 25,000$ 

Now, 
Total ticket sale $= 100 + 50\%\ of\ 100 = 150$

This effected $17.5\%$ decrease in collection.

So, Collection after increased sale,
$= 25000 - 17.5\%\ of\ 25000 $

$= Rs.\ 20, 625$

In vacation time per ticket price,
$= \dfrac{20625}{150}$

$ = Rs. 137.5$

Decreased in each ticket price,
$= 250 - 137.5 = Rs.\ 112.5$

Hence, this is the answer.
Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

If a commission of $10$% is given on MP of book , the publisher gains $20$% . If the commission is increase to $20$% , the gain % is?

  1. $5$
  2. $6.66$
  3. $3.33$
  4. $8$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$S.P=M.P-$commission$\times M.P$

$S.P=C.P+$ gain$\times C.P$
Let $C.P=Rs.100$
For gain $=20\%, S.P=Rs.120$
and commission$=10\%,MP=Rs.133.33$
For commission$=20\%$ and $M.P=Rs133.33$
$S.P=Rs.106.66$
$C.P=Rs.100$
$\implies $ gain$=\cfrac{S.P-C.P}{C.P}\times 100=6.66\%$

Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

If a commission $20$% given on the marked price of a book, the publisher gain $60$% . If the commission is not there, the gain of publisher is

  1. $100$
  2. $90$
  3. $60$
  4. $80$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Let discount be $D$
$SP=MP-D\times MP$
for $D=20\%$
$SP=(1-0.2)\times MP=0.8MP$
Again
Gain$=\cfrac{SP-CP}{CP}\times 100$
For gain$=60\%$ and $SP=0.8MP$
$CP=MP/2$
If $D=0$
$SP=MP$ and $CP=MP/2$
$\implies$Gain$=\cfrac{SP-CP}{CP}\times 100=100\%$


Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

If a commission of $5$% is given on MP of book , the publisher gains $26.66$% . If the commission is increase to $15$% , the gain % is?

  1. $10$
  2. $13.33$
  3. $16.66$
  4. $20$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
$S.P=M.P-$commission$\times M.P$
$M.P=$Marked price
$S.P=C.P+$gain$\times C.P$
Let$M.P=Rs.100$
for commission$=5\%,S.P=Rs.95$ 
and gain$=26.66\%,C.P=Rs.75$
for commission$=15\%,M.P=Rs.100$ 
$S.P=Rs.85$
$C.P=Rs.75$
$\implies$ gain$=\cfrac{S.P-C.P}{C.P}\times 100=13.33\%$
Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

A salesman is appointed on a fixed monthly salary of Rs. $1,500$/- together with a commission at $5$% on the sales over Rs. $10,000$/- during a month. If his monthly income is Rs. $2,050$/-, find his sales during that month.


  1. Rs. $22,000$
  2. Rs. $20,000$
  3. Rs. $21,000$
  4. Rs. $19,000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Commission at $5\%$ on the sales over Rs. $10,000$/- 

$=$ monthly income $-$ monthly salary 
$=$ Rs. $2050-1500$ 
$=$ Rs. $550$/- 

The sales over Rs. $10,000$ $=$ Rs. $550 \times $ $\dfrac {100}{5}$ $=$ Rs. $11,000$
Total sales during the month 
$=$ Rs. $(10,000 + 11,000) =$ Rs. $21,000$  

Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

If a commission of $10\%$ is given on the written price of an article, the gain is $20\%$. If the commission is increased to $20\%$, the gain is

  1. $6\dfrac{2}{3}\%$
  2. $7\dfrac{1}{4}\%$
  3. $12\dfrac{1}{2}\%$
  4. $13\dfrac{1}{3}\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

List price $=Rs\ 100$ commission $10\%$

$SP=90\ Rs$ Gain $28\%$
$CP\ Rs \left(\dfrac{100}{120}\times 90\right)=0.75$
$SP=Rs\ 80$
New gain $\%=\dfrac{5}{75}\times 100=6\dfrac{2}{3}$
$=\dfrac{20}{3}\%$


Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

A salesman is appointed on a fixed monthly salary of Rs. $1,500$/- together with a commission at $5$% on the sales over Rs. $10,000$/- during a month. If his monthly income is Rs. $2,500$/-, find his sales during that month. 

  1. $20,000$
  2. $10,000$
  3. $30,000$
  4. $40,000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Fixed salary$=1500$
Monthly income$=2500$
Income from commission$=2500-1500$
$=1000$
Given $5$% of total sale equals commission he gets
$\Rightarrow 5$% of Total sales$=1000$
$\cfrac { 5 }{ 100 } \times T.S=1000$
T.S$=20,000$
$\therefore$ His sales during that month was Rs.$20,000$
Multiple choice business maths functions and graphs some functions and their graphs -i graphs of the form y=ax^2+bx+c introduction to sets

Time complexity to check if an edge exists between two vertices would be __________.

  1. O(V*V)

  2. O(V+E)

  3. O(1)

  4. O(E)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In an adjacency list representation, checking if an edge exists between two vertices u and v requires iterating through the list of neighbors of u, which takes O(degree(u)) time. In the worst case, this is O(E) or O(V). O(E) is the most appropriate choice among the options.