CD player was sold for 5130 after giving successive discount of 5% 10% 25%
Answers
Answer:
In the above Question , the following information is given :
A CD player was sold for 5,130 after giving successive discounts of 5%, 10% and 25%, respectively.
To find -
What was the price marked on the CD player?
What single discount is equivalent to the given three successive discounts?
Solution -
Here ,
A CD player was sold for 5,130 after giving successive discounts of 5%, 10% and 25%, respectively.
Now , let is assume that the marked Price of this CD player is Rs . X
Now ,
After the first discount -
New Price
=> 95% of x .
After the second discount -
New Price -
=> 90% of 95% of x .
After the third discount ,
New Price -
=> 75% of 90% of 95% of X .
But , this is equal to Rs. 5130 .
So ,
75% of 90% of 95% of x = 5130
=> 0.75 × 0.9 × 0.95 X = 5130
=> 0.064125 x = 5130
=> 8000
Hence , the required marked Price of the CD player is Rs. 8000 .
Now ,
Let us assume that the cost of the CD player is x .
=> 5%× 10% × 25% x
=> [ 5 / 100 ] × [ 1 / 10 ] × [ 1 / 4 ] x .
=> [ 1 / 800 ] x
=> [ { 1 / 8 } / 100 ] x
=> Discount -
=> 1.25 x.
This is the required answer .
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Step-by-step explanation:
In the above Question , the following information is given :
A CD player was sold for 5,130 after giving successive discounts of 5%, 10% and 25%, respectively.
To find -
What was the price marked on the CD player?
What single discount is equivalent to the given three successive discounts?
Solution -
Here ,
A CD player was sold for 5,130 after giving successive discounts of 5%, 10% and 25%, respectively.
Now , let is assume that the marked Price of this CD player is Rs . X
Now ,
After the first discount -
New Price
=> 95% of x .
After the second discount -
New Price -
=> 90% of 95% of x .
After the third discount ,
New Price -
=> 75% of 90% of 95% of X .
But , this is equal to Rs. 5130 .
So ,
75% of 90% of 95% of x = 5130
=> 0.75 × 0.9 × 0.95 X = 5130
=> 0.064125 x = 5130
=> 8000
Hence , the required marked Price of the CD player is Rs. 8000 .
Now ,
Let us assume that the cost of the CD player is x .
=> 5%× 10% × 25% x
=> [ 5 / 100 ] × [ 1 / 10 ] × [ 1 / 4 ] x .
=> [ 1 / 800 ] x
=> [ { 1 / 8 } / 100 ] x
=> Discount -
=> 1.25 x.