# 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.

#### 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