Question

The marked price of a motorcycle was Rs.150000 . What was the price of the motor cycle after 10% discount and 13% VAT included?

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

Marked price of a Motorcycle, (MP) = Rs.150000

Discount on, (D) = 10%

VAT included, (tax) = 13%

$\underline{\bf{Explanation\::}}$

Using formula of the discount when given Marked price;

$\boxed{\bf{Discount = \bigg(\frac{Discount\:\%}{100}\bigg) \times MP}}$

A/q

$\mapsto\tt{Discount = \bigg(\dfrac{Discount\:\%}{100}\bigg) \times MP}$

$\mapsto\tt{Discount = \bigg(\cancel{\dfrac{10}{100}}\bigg) \times 150000}$

$\mapsto\tt{Discount = \dfrac{1}{\cancel{10}} \times 15000\cancel{0}}$

$\mapsto\tt{Discount = Rs.(1 \times 15000)}$

$\mapsto\bf{Discount =Rs.15000}$

As we know that,

→ Selling price = Marked price - Discount

→ Selling price = Rs.150000 - Rs.15000

→ Selling price = Rs.135000

Now,

$\mapsto\tt{Price = Selling\:price +tax}$

$\mapsto\tt{Price = 135000 +(13\:\% \:of\: 135000)}$

$</p><p>\mapsto\tt{Price = 135000 +\bigg(\dfrac{13}{100} \times 135000\bigg)}$

$\mapsto\tt{Price = 135000 +\bigg(\dfrac{13}{\cancel{100}} \times 1350\cancel{00}\bigg)}$

$\mapsto\tt{Price = 135000 + (13 \times 1350)}$

$\mapsto\tt{Price = 135000 + 17550}$

$\mapsto\bf{Price = Rs.152550}$

Thus,

The price of the motorcycle after a discount & tax will be Rs.152550 .