Nadia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned $288 in commission.

a. What was the total amount of her sales?

b. If she earns $14,000 in commission during the year, what was the total value of stocks that Nadia sold?

Respuesta :

Answer:

a)The total amount of her  weekly stock sales  = $7,200

b) The total amount of her yearly stock sales  = $350,000

Step-by-step explanation:

(a)  Let us assume that the total a mount of her sales in a week  = $m

      Commission earned in a week = $288

      Now, 4 % of her total sales  = $288

      or, 4% of ($m)  = $288

    ⇒[tex]\frac{4}{100}  \times  m = 288[/tex]

     or, [tex]m = \frac{288 \times 100}{4}   = 7,200[/tex]

     ⇒ m = $7,200

Hence, the total amount of her  weekly stock sales  = $7,200

b)  Let us assume that the total amount of her sales in a year  = $k

     The total amount of commission earned  = $14,000

Now, 4 % of her total sales  = $14,000

      or, 4% of ($k)  = $14,000

    ⇒[tex]\frac{4}{100}  \times  k = 14,000[/tex]

     or, [tex]k = \frac{14,000 \times 100}{4}   = 350,000[/tex]

     ⇒ k = $350,000

Hence, the total amount of her yearly stock sales  = $350,000