Question

The usual price of a game console was $3200. During a sale, the game
console was sold at $2400. Find the percentage discount given for the game
console during the sale.

Answer 1

➤ Given :-

Cost price of game console :- ₹3200

Selling price of game console :- ₹2400

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➤ To Find :-

The discount percentage obtained to shopkeeper.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Discount}{CP} \times 100}}}}$

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★ How to do :-

Here, we are given with the cost price and the selling price of a game console. In the same question, we are asked to find the discount percentage of that item. The above formula can be preferred for finding the same. But, first we should find the discount rupees by subtracting the cost price and the selling price. Later, we can use the given formula for finding the percentage value. So, let's solve!!

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➤ Solution :-

First, find the loss rupees by subtracting the cost price and selling price.

Loss rupees :-

${\tt \leadsto 3200 - 2400}$

${\tt \leadsto Rs \: \: 800}$

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Now, we have finally found the loss rupees, so calculate the percentage form by the formula.

Loss percentage :-

${\tt \leadsto \dfrac{800}{3200} \times 100}$

Write the given fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{800}{3200} \times 100 = \dfrac{1}{4} \times 100}$

Now, simplify it further.

${\tt \leadsto \dfrac{1 \times 100}{4} = \dfrac{100}{4}}$

Cancel it further to get the answer.

${\tt \leadsto \cancel \dfrac{100}{4} = \boxed{\tt 25 \bf\%}}$

$\Huge\therefore$ The discount percentage of the game console is 25%.

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$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}$