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FromTheMoon [43]
3 years ago
14

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos

ts the shopkeeper $200, at what price is it sold?
A-$180
B-$200
C- $210
D- $230
Mathematics
2 answers:
Savatey [412]3 years ago
7 0
C. $210
The original cost of $200 plus the 40% markup equals $280.
Then the $280 with the 25% discount is $210.
Annette [7]3 years ago
6 0

Answer:

The shopkeeper sold the jacket at $210.

Step-by-step explanation:

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount.

So, when a jacket costs the shopkeeper $200, so first we will add 40% to it and then give a discount of 25%.

40% of 200 =0.40\times200=80

Price will become = 200+80=280 dollars

Now he will give 25% discount on it;

Final price will become: 280-(0.25\times280)

= $210

Hence, The shopkeeper sold the jacket at $210.

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We are given the following in the question:

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Step-by-step explanation:

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In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
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\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

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  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

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➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

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➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

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seraphim [82]

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