Laxman went to a shop to buy a fan costing $750$. The rate of sales tax is $6%$. He requests the shopkeeper to reduce the price to such an extent that he has to pay only $742$ including the sales tax. Find the reduction needed in the price of the fan.

Home » Laxman went to a shop to buy a fan costing . The rate of sales tax is . He requests the shopkeeper to reduce the price to such an extent that he has to pay only including the sales tax. Find the reduction needed in the price of the fan.

Laxman went to a shop to buy a fan costing $750$ . The rate of sales tax is $6%$ . He requests the shopkeeper to reduce the price to such an extent that he has to pay only $742$ including the sales tax. Find the reduction needed in the price of the fan.

Class 10 | Frank | ICSE | Maths | Sales Tax And Value Added Tax

Laxman went to a shop to buy a fan costing $750$ . The rate of sales tax is $6%$ . He requests the shopkeeper to reduce the price to such an extent that he has to pay only $742$ including the sales tax. Find the reduction needed in the price of the fan.

Given
The cost of fan = ₹ $750$
The rate of sales tax = $6%$
Calculation,
Let, the reduced price of fan be $y$
Total amount of the fan $=y+6%$ of $y$
$=1y+\left( 6/100 \right)y$
$=106y/100$
But, the total amount of the fan to be paid = ₹ 742
Then, $106y/100=$ ₹ $742$
$y=(742\times 100)/106$
$y=74,200/106$
$y=700$
$\therefore$ Reduction needed $=750-700=50$

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