Tag: commission,brokerage and discount

Questions Related to commission,brokerage and discount

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.$20,000$