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nekit [7.7K]
3 years ago
7

A shopkeper declares a 20% discount on his goods and sells it at a profit of 25%. What is the cost price of the goods if the mar

ked price quoted is Rs 2000
Mathematics
1 answer:
cluponka [151]3 years ago
8 0

A 20% discount means you pay 80% of the marked price.

Why 80%? Well, 100% - 20% = 80%.

The discounted price is 80% times $2000.

Let D = discounted price

D = 0.80($2000) = $1600 

What is profit?

Profit = (discounted price - cost)/cost

Let c = cost

We are looking for c.   

($1600 - c)/c = 0.25

Multiply both sides by c. 

$1600 - c = 0.25c 

$1600 = 1.25·cosc 

c = $1600/1.25 = $1280

Answer: $1280

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Answer:

x = 9; y = 12; u = 24; v = 32

Step-by-step explanation:

The corresponding sides of similar triangles are in the same ratio to each other.

      3/5 = (3 + x)/20     Multiply each side by 20

20×3/5 = 3 + x

       12 = 3 + x             Subtract 3 from each side

        x = 9

=====

      4/5 = (4 + y)/20     Multiply each side by 20

20×4/5 = 4 + y

       16 = 4 + y              Subtract 4 from each side

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=====

      3/5 = (3 + x + u)/60     Multiply each side by 60

60×3/5 = 3 + x + u

       36 = 3 + x + u             Insert the value of x

       36 = 3 + 9 + u

       36 = 12 + u                 Subtract 12 from each side

         u = 24

=====

      4/5 = (4 + y + v)/60     Multiply each side by 60

60×4/5 = 4 + y + v

       48 = 4 + y + v             Insert the value of y

       48 = 4 + 12 + v

       48 = 16 + v                 Subtract 16 from each side

         v = 32

x = 9; y = 12; u = 24; v = 32

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