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Q.

Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs.1,600, find the marked price.


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a

2000

b

1800

c

2700

d

2500 

answer is A.

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Detailed Solution

Concept: We Since we are aware of the relationship between discount percentage, discount  and marked price, we can formulate the aforementioned phrase as follows: Question ImageWhere, discount can be given by this formula
Question Image Arun spent Rs. 1,600 on a pair of skates that he purchased during a sale at a 20% discount.
Question ImageWe know that discount percentage=20 and let the marked price be x and let it be equation (2) as from the above question.
Now we will substitute discount percentage and marked price in equation 1.
Question ImageSimplifying the equation 3
Dividing 20 by 100 we will get 15 which is a discount price.
Question ImageWe use Question Image to find a marked price.
Purchased price is already given in the question and from equation 4, Question Image and purchased price is 1600
From equation 5 Question ImageNow, we will substitute the values in equation 6 we will get,
Question ImageCanceling 1600 with 4 as 1600 is multiple of 4
Question ImageHence, the correct answer is option 1.
 
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