Question

The marked price of an article is ₹1200.The shopkeeper sold it to a customer for ₹1020.Find the discount % given. *​

Answer 1

Given :-

• Marked Price of an article is Rs 1200

• The shopkeeper sold it to a customer for ₹1020

To Find :-

• We have to find the discount %

Solution :-

Marked Price of an article = ₹1200

Selling price of an article = ₹1020

Here,

Marked Price > Selling price

Therefore,

Discount price

= Marked Price - Selling Price

Subsitute the required values,

Discount price on an article

= 1200 - 1020 = ₹180

Thus, The discount price on an article is ₹180

Now,

Discount % on an article

= Discount price / Marked Price * 100

Discount % on an article = 180/1200 * 100

Discount % on an article = 180/12

Discount % on an article = 15%

Hence, The discount given by shopkeeper to a costumer is 15% $.$

Some more Formulas :-

• SP - CP = Profit , SP > CP

• CP - SP = Loss , CP > SP

• SP - Profit = CP

• CP + Profit = SP

• CP - Loss = SP

• SP + Loss = CP

• Profit % = Profit/ CP * 100

• Loss % = Loss / CP * 100

Answer 2

➤ Given :-

Marked price of an article :- ₹1200

Selling price of an article :- ₹1020

$\:$

➤ To Find :-

The loss percentage of tye article.

$\:$

★ How to do :-

Here, we are given with the marked price and the selling price of an article. We are asked to find the loss percentage of that article. First, we should find the loss rupees by subtracting the cost price and the selling price. Then, we should apply the formula that is used to calculate the percentage value. For finding the loss percentage, we are required with loss rupees anf the cost price. So, we find the loss rupees. So, let's solve!!

$\:$

➤ Solution :-

Loss rupees :-

${\tt \leadsto \underline{\boxed{\tt Cost \: price - Selling \: price}}}$

Substitute the given values.

${\tt \leadsto 1200 - 1020}$

Subtract the values to get the loss rupees.

${\tt \leadsto Rs \: \: 180}$

$\:$

Now, let's calculate the loss percentage.

Loss percentage :-

${\tt \leadsto \underline{\boxed{\tt \dfrac{Loss}{Cost \: price} \times 100}}}$

Substitute the given values.

${\tt \leadsto \dfrac{180}{1200} \times 100}$

Write the fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{15}{100} \times 100}$

Cancel the zeros in denominator and thr while number.

${\tt \leadsto \dfrac{15}{\cancel{100}} \times \cancel{100}}$

Now, find the loss percentage.

${\tt \leadsto \cancel \dfrac{15}{1} = \pink{\underline{\boxed{\tt 15 \bf\%}}}}$

$\Huge\therefore$ The loss percentage of the article is 15%.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

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