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Shalini Bought an Electric Washing Machine for Rs 24,556.50 Which Included 15% Rebate on the Basic Price and Then 7% Sales Tax on the Remaining Price. Find the Basic Price of the Washing Machine. - Mathematics

Sum

Shalini bought an electric washing machine for Rs 24,556.50 which included 15% rebate on the basic price and then 7% sales tax on the remaining price. Find the basic price of the washing Machine.

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Solution

Let the basic price be x 

Rebate = 15 % of x 

Rebated oost of washing machine= x - 15 % of x

`= "x"  - (15 "x")/100`

`= (85 "x")/100`

Sales tax = 7 % of oost of washing machine 

`= 7/100 xx (85 "x")/100`

`= (595 "x")/10000`

Total oost = oost + sales tax 

`= (85 "x")/100 + (595 "x")/10000`

`= (8500 "x" + 595 "x")/10000` 

`= (9095 "x")/10000`

But total oost = Rs 24,556.50 

⇒ `(9095 "x")/10000` = Rs 24556.50 

⇒ x = `(24556.50 xx 10000)/9095`

⇒ x = Rs 27, 000 

Hence, Basic price of washing machine= Rs 27,000 

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 2 Sales Tax and Value Added Tax
Exercise 2.1 | Q 16 | Page 35
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