Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options. If the selling price is marked up by 25 percent, the new price will be $10. If the selling price is marked up by 40 percent, the new price will be $7.50. If the selling price is marked up by 55 percent, the new price will be $5.50. If the selling price is marked up by 70 percent, the new price will be $13.60. If the selling price is marked up by 75 percent, the new price will be $14.

Respuesta :

The cost price of a swim-suit, C.P.=$8

Option 1:

If the selling price is marked up by 25%, the new selling price is

[tex]S.P.=C.P.+C.P.\times 25\%[/tex]

[tex]=8+8\times\frac{25}{100}[/tex]

=8+2

=10

So, the selling price will be $10 which is the same as the mentioned selling price.

Hence, this option is correct.

Option 2:

If the selling price is marked up by 40%, the new selling price is

[tex]S.P.=C.P.+C.P.\times 40\%[/tex]

[tex]=8+8\times\frac{40}{100}[/tex]

=8+3.20

=11.20

So, the selling price will be $11.20 which is not the same as the mentioned selling price, $7.50.

Hence, this option is wrong.

Option 3:

If the selling price is marked up by 55%, the new selling price is

[tex]S.P.=C.P.+C.P.\times 55\%[/tex]

[tex]=8+8\times\frac{55}{100}[/tex]

=8+4.40

=12.40

So, the selling price will be $12.40 which is not the same as the mentioned selling price, $5.50.

Hence, this option is wrong.

Option 4:

If the selling price is marked up by 70%, the new selling price is

[tex]S.P.=C.P.+C.P.\times 70\%[/tex]

[tex]=8+8\times\frac{70}{100}[/tex]

=8+5.60

=13.60

So, the selling price will be $13.60 which is the same as the mentioned selling price.

Hence, this option is correct.

Option 5:

If the selling price is marked up by 75%, the new selling price is

[tex]S.P.=C.P.+C.P.\times 75\%[/tex]

[tex]=8+8\times\frac{75}{100}[/tex]

=8+6

=14

So, the selling price will be $14 which is the same as the mentioned selling price.

Hence, this option is correct.

Answer:    A,D,E

Step-by-step explanation:

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