Question

Rakesh bought a Shirt for ₹ 1035 including a sales tax of 15 % and a pant for ₹ 1100 including a sales tax of 10 % . The printed price ( without sales tax ) of Shirt and Pant together is ₹ _____________

• A. 1900
• B. 1100
• C. 900
• D. 1000

Answer 1

The correct option is A

1900

Let the printed price of the shirt be ₹ $x$ ; Given that sales tax charged = 15 %

Total cost of the shirt = Printed Price + sales tax

1035 = $x$ + 15 % of $x$

1035 = $x$ + $\frac{15}{100}$ $x$

1035 = $\frac{115}{100}$ $x$

$x$ = $\frac{1035\times 100}{115}$

Printed price of the shirt = ₹ 900

Let the printed price of the Pant be ₹ $y$ , sales tax = 10 %

Total amount of the pant = Printed Price + sales tax

Given that total amount of the pant = ₹ 1100

1100 = $y$ + 10 % of $y$

= $y$ + $\frac{10}{100}$ $y$

= $\frac{110}{100}$ $y$

$y$ = $\frac{1100\times 100}{110}$

Printed price of the pant = ₹ 1000

Hence the total cost of the Shirt and Pant ( Exclusive of tax ) = 1000 + 900 = ₹ 1900