Tag: deductions from earnings

Questions Related to deductions from earnings

Pia is a sales representative for a printer company. She sells two models of printers - Model P and Model Q.
Last month she sold a total of $120$ printers
The ratio of Model P printers sold to Model Q printers sold was $3:5$.
If Pia is paid a $Rs. 25$ commission for every Model P printer sold and a $Rs. 20$ commission for every Model Q printer sold, what was her total commission last month? 

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

  1. $Rs. 1480$

  2. $Rs. 2475$

  3. $Rs. 2625$

  4. $Rs. 2760$

Show answer
Correct Option: C
Explanation:

Number of P printers sold = $P$

Number of Q printers sold = $Q$
Commission for each P printer sold = $Rs.25$
Commission for each Q Printer sold = $Rs.20$
Given that $\frac { P }{ Q } =\frac { 3 }{ 5 } $
so we can assume that $P = 3x, Q=5x$
Total printers sold $= P+Q = 120$
$\Rightarrow 8x= 120 , x=15$
Total money earned $= (25)(3)(15) + (20)(5)(15) = 1125+1500 = 2625$

 

If a commission $10\%$ given on the marked price of a book, the publisher gain $20\%$ . If the commission is increased to $15\%$, the gain of publisher is

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

  1. $\dfrac {91}{6} \%$

  2. $14\%$

  3. $\dfrac {40}{3} \%$

  4. $\dfrac {50}{3} \%$

Show answer
Correct Option: C
Explanation:

Let CP $= 100$ and Marked Price be $x$
SP $= 100 + 20\%$ of $100=100+\dfrac{20}{100}\times 100 = 120$
$10\%$ commission was given on SP.
$\Rightarrow$ SP $= x - 10\%$ of $x$
$\Rightarrow 120 = x - \dfrac{10x}{100}$
$\Rightarrow 120 = \dfrac{9x}{10}$
$\Rightarrow 9x = 1200$
$\Rightarrow x = \dfrac{1200}{9} =$ Rs. $133.33$
MP $= 133.33$
If $15\%$ commission was given, then
$\Rightarrow$ SP $= 133.33 - 15\% of 133.33=133.33+\dfrac{15}{100}\times 133.33$
$\Rightarrow$ SP $= 133.33 - 20$
$\Rightarrow$ SP $= 113.33$
Gain $ = 113.33 - 100=13.33$
$\%$ gain  $=\dfrac{13.33}{100}\times 100= 13.33 \%$

If a commission of $10$ $\%$ is given on MP of book , the publisher gains $20$ $\%$. 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. $20$

  3. $15$

  4. $\dfrac {40}{3}$

  5. None of these

Show answer
Correct Option: D
Explanation:

Let MP $= 100$
SP after giving $10$ $\%$ commission $= 100 - 10$ $\%$ of $100 = 90$.
Let CP $= x$
Gain $ = 20$ $\%$
Now, $+x + 20$ $\%$ of $x = 90$
$\dfrac {120 x }{100} = 90$
$x= 75$
CP $= 75$
If $15$ $\%$ commission was given, then SP $= 85$
Gain $= 85 - 75 = 10$
Percent gain  $= \dfrac {(10 \times 100)}{75} = \dfrac {40}{3} = 13.33$ $\%$.

On the sale of a property, a broker earned 1200, which is 2% commission. The cost of the property was

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

  1. 50,000

  2. 1,50,000

  3. 60,000

  4. 70,000

Show answer
Correct Option: C
Explanation:

There is $2$% commission on the cost and the profit is $1200$. Therefore,

$\displaystyle Cost=\frac{100}{2}\times1200=60000$

Sumeet earns $5$% commission on total sales. What commission he would earn if he sold a Rs.$3000$ crockery?

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

  1. Rs.$1500$

  2. Rs.$150$

  3. Rs.$200$

  4. Rs.$250$

Show answer
Correct Option: B
Explanation:

Commission=Rate of commission $\times$ Amount of sales
$\cfrac{5}{100}\times 3000$
=Rs.$150$

Sumeet has started making $Rs.60000$ a month plus some money by commission. He gets $9$% of everything he sells. If Sumeet sold $Rs.100000$ worth of items this month, calculate the salary

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

  1. $Rs.69000$

  2. $Rs.31000$

  3. $Rs.160000$

  4. None

Show answer
Correct Option: A
Explanation:

Amount sold $=100000$, Rate$=9$%
Commission $=100000\times {9}{100}=9000$
Total salary $=60000+9000=69000$

Sumeet runs a music shop where he sold a guitar of worth $Rs.50000$, one pick $Rs.50$, one processor $Rs.7000$ and an amplifier worth $Rs.36000$ and commission he got was $12$%. What was Sumeet's commission on total sales?

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

  1. $Rs.111660$

  2. $Rs.111.66$

  3. $Rs.11166$

  4. None

Show answer
Correct Option: C
Explanation:

Total sales $=Rs.50000+Rs.50+Rs.7000+Rs.36000$
$=Rs.93050$
Commission =Amount of sales $\times $ Rate
$=93050\times \cfrac{12}{100}$
$=11166$

Remo, who works in a high-end jewellery store, earns a base pay of $\$ 10.00$ per hour plus a certain percent commission on the sales that he helps to broker in the store. Remo worked an average of $35$ hours per week over the past two weeks and helped to broker sales of $\$ 5,000.00$ worth of jewellery during that same two week period. If Remo's earnings for the two-week period were $\$ 850.00$, what percent commission on sales does Remo earn? 

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

  1. $1\%$

  2. $2\%$

  3. $3\%$

  4. $4\%$

Show answer
Correct Option: C
Explanation:

Given that Remo works in jewelry store he earns a base pay of $\$10$ per hours plus a certain percent commission on sale and Remo worked an average of $35$ hours in week.

Then Ramo total base pay for two weeks $=$ $35\times 2\times 10=700$ dollars.
But Remo earning for two weeks were $\$850$ including percent  commission of sale $\$5000$.
So, percent  commission of sale $\$5000=850-700=150$ dollar
Then percent on sale $=$ $\dfrac{150}{5000}\times 100=3$ $\%$

Amit used to earn $7$% commission on every piece of mobile he sells. Calculate amount of his commission if he sells a mobile phone for $Rs.90000$?

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

  1. $Rs.630$

  2. $Rs.63000$

  3. $Rs.6300$

  4. None

Show answer
Correct Option: C
Explanation:

Commission=Rate $\times$ Amount of sales
$\cfrac{7}{100}\times 90000$
$=Rs.6300$

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. $23,000$

  4. Rs. $21,000$

Show answer
Correct Option: D
Explanation:

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

$\Rightarrow$ Monthly income - monthly salary.= Rs.$2050-$Rs.$1500=$Rs.$550.$
$\Rightarrow$  The sales over Rs.$10,000=550\times \dfrac{100}{5}=$Rs.$11000.$

$\Rightarrow$  Total sales during the month = Rs.$10,000+$Rs.$11,000=$Rs.$21,000$