Tag: business maths

Questions Related to business maths

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

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

  1. $30$%

  2. $20$%

  3. $40$%

  4. $50$%

Show answer
Correct Option: C
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 $40$%

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?

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

  1. Rs. $100$

  2. Rs. $90$

  3. Rs. $80$

  4. Rs. $110$

Show answer
Correct Option: B
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.$90$

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?

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

  1. Rs. $100$

  2. Rs. $112.5$

  3. Rs. $1000$

  4. Rs. $1225$

Show answer
Correct Option: B
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.

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?

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

  1. $5$

  2. $6.66$

  3. $3.33$

  4. $8$

Show answer
Correct Option: B
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$=\cfrac{S.P-C.P}{C.P}\times 100=6.66\%$

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

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

  1. $100$

  2. $90$

  3. $60$

  4. $80$

Show answer
Correct Option: A
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$=\cfrac{SP-CP}{CP}\times 100=100\%$


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?

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

  1. $10$

  2. $13.33$

  3. $16.66$

  4. $20$

Show answer
Correct Option: B
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$=\cfrac{S.P-C.P}{C.P}\times 100=13.33\%$

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.


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

  1. Rs. $22,000$

  2. Rs. $20,000$

  3. Rs. $21,000$

  4. Rs. $19,000$

Show answer
Correct Option: C
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. $21,000$  

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

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

  1. $6\dfrac{2}{3}\%$

  2. $7\dfrac{1}{4}\%$

  3. $12\dfrac{1}{2}\%$

  4. $13\dfrac{1}{3}\%$

Show answer
Correct Option: A
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 $\%=\dfrac{5}{75}\times 100=6\dfrac{2}{3}$
$=\dfrac{20}{3}\%$


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. 

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

  1. $20,000$

  2. $10,000$

  3. $30,000$

  4. $40,000$

Show answer
Correct Option: A
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.$20,000$

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

business maths functions and graphs some functions and their graphs -i graphs of the form y=ax^2+bx+c introduction to sets

  1. O(V*V)

  2. O(V+E)

  3. O(1)

  4. O(E)

Show answer
Correct Option: D