To find the Written (marked) Price when discount percentage and discount amount are known (WP-15: Percentage %)

If sale price of a shirt after giving 8% discount is Rs. 161. Find the written Price. (Ans. 2012.5)

Given:

Discount Percentage = 8 %

Discount amount on shirt = Rs. 161

To Find:

Written price of shirt = ?

Solution:

This problem can be solved in 3 Methods.

Method-1: Using Unitary Method (direct)

8% of discount  = Rs. 161 

1% of discount = `\frac{Rs. 161}{8}`

100% of  discount = `\frac{Rs. 161}{8}` ｘ100

(100% of discount = Written (marked) price )

By solving we get 

Written price  = Rs. 2012.5  --------------Ans.

Method-2: Using Again unitary method (percentage)

First we will find the Percentage of sale price after rebate (ie. the amount received by the shopkeeper) 

Percentage of sale price after rebate  = 100% - discount %

Percentage of Naeem' Profit = 100% - 8% = 92 %

Now using unitary methods

8% of the discount  = Rs. 161 

1% of the discount = `\frac{Rs. 161}{8}`

92% of the discount = `\frac{Rs. 161}{8}` ｘ92

(92% of the discount = Amount received by the shopkeeper )

By solving we get 

Amount received by shopkeeper  = Rs. 1851.5  

Written price = Amount received by shopkeeper + discount amount 

Written price = Rs. 1851.5 + Rs. 161

 Written price =  Rs. 2012.5 --------------Ans.

Method-3: Using proportion method

Here we are given 8% discount amount is Rs. 161, for 100 % discount (will be written price) the amount will be increased.  So it is a direct proportion.

So the arrows will be drawn in the same direction, no matter if drawn in a upwards or downwards direction. But it is better to draw an arrow starting from ｘ

Now the the proportion will become

 X  : Rs. 161  :: 100 % :  8 %

As we know that the product of mean is equal to product of extreme of a proportion we have

 X  ｘ 8 %  = Rs. 161 ｘ  100 %

or

 X   =  `\frac{Rs. 161 ｘ 100 %}{8 %}`

(% mean dividing by 100 will be canceled from the nominator and denominator). And simplifying we get

 X   =  Rs. 2012.5 ------------------Ans

***************************************************************

Shortcut links for:

1. Real Life Word Problems on Financial Mathematics, Property Tax, General Sale Tax (GST), Zakat, Ushr, Profit and Loss, Markup, Percentage, Proportion.

2. 5th class Notes: English, Social Study (S.St.), General Science (G.Sc.), Urdu (اُردو), Islamiat (اسلامیات), Mathematics

************************************

1. Website for School and College Level Physics   

(https://askrarequiz.blogspot.com)

2. Website for School and College Level Mathematics  

(https://askraremaths.blogspot.com)

3. Website for Single National Curriculum Pakistan - All Subjects Notes 

(https://askrareclassnotes.blogspot.com/)

© 2022-23  Academic Skills and Knowledge (ASK)     

Note:  Write me in the comments box below for any query and also Share this information with your class-fellows and friends.