At a clearance sale, all goods are on sale at 45% discount. If I buy a shirt marked Rs. 600, how much would I need to pay?

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Answer:270

Step-by-step explanation:600/45×100=270

answer is 270

⇒ Given:All goods are sold for a discount of 45% at a clearance sale.

I buy a shirt of marked price Rs.600.

⇒ To Find:How much I would have to pay availing the discount.

⇒ Solution:Method 1:To find the price I will have to pay, that is, the selling price (S.P) of the object after subtracting the discount amount from the marked price. So first, we need to find the discount amount by applying the following formula:

[tex]\sf{\implies\:Discount\:amount=\dfrac{Discount\%}{100}\times\:M.P}[/tex]

Applying the formula in the present question:

[tex]\sf{\longrightarrow\:Discount\:amount=\dfrac{45}{100}\times600}[/tex]

[tex]\sf{\longrightarrow\:Discount\:amount=\dfrac{45}{1}\times6}[/tex]

[tex]\sf{\longrightarrow\:Discount\:amount=45\times6}[/tex]

[tex]\sf{\longrightarrow\:Discount\:amount=Rs.270}[/tex]

So, an amount of Rs.270 will be deducted from the marked price. Therefore to find the selling price of the shirt, we will have to use the formula stated below:

[tex]\sf{\implies\:S.P=M.P-Discount\:amount}[/tex]

Applying the formula here:

[tex]\sf{\longrightarrow\:S.P=600-270}[/tex]

[tex]\bf{\longrightarrow\:S.P=Rs.330}[/tex]

Therefore I will have to pay an amount of

Rs.330for the shirt.Alternate method:In order to find the amount I will have to pay for the shirt, the given method can also be used:

It is given that a 45% percent discount is given on all objects. It is also given that the M.P of the shirt is Rs.600.

So:

➡ Percent of total amount I will have to pay = Total percent – Discount percent

➡ Percent of total amount I will have to pay = 100 – 45

➡ Percent of total amount I will have to pay = 55%

This means that I will have to pay 55% of Rs.600.

[tex]\sf{=\dfrac{55}{100}\times600}[/tex]

[tex]\sf{=55\times6}[/tex]

[tex]\bf{=Rs.330}[/tex]