Question

the marked price of a motorcycle was Rs 150000.what was the price of the motorcycle after a 10% discount and 13% vat included in its price

Answer 1

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Profit and loss

Profit and loss deals with profit and loss made in finance and business transaction.

If the selling price of the article is greater than its cost price, it is called profit

i.e S.P > C.P

Profit = S.P – C.P

Profit % = profitC.P* 100%

If the selling price of the article is less than its cost price, it is called loss

i.e S.P < C.P

Profit = C.P – S.P

Loss % = LossC.P* 100%

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Answer 2

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,

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

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

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

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

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

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

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

Thus,

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