Question

3) Selling price = Rs 1500, Cost price = Rs 1000
4) Selling price : Rs 200, Loss = Rs 20 calculate profit /loss percent when​

Answer 1

➤ Given :-

Selling price (1) :- ₹ 1500

Cost price (1) :- ₹ 1000

Selling price (2) :- ₹ 200

Loss (2) :- ₹ 20

➤ To Find :-

Profit or loss percentage in each case

➤ Formula required :-

Profit percentage :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Profit}{Cost \: price} \times 100}}}}$

Loss percentage :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Loss}{Cost \: price} \times 100}}}}$

➤ Solution (1) :-

First, we should find the profit obtained in the numerical format by subtracting the selling price and the cost price

Profit :-

${\tt \longrightarrow 1500 - 1000}$

${\tt \longrightarrow Rs \: \: 500}$

Now,

Profit percentage :-

${\tt \longrightarrow \dfrac{500}{1000} \times 100}$

${\tt \longrightarrow \dfrac{500}{\cancel{1000}} \times \cancel{100} = \dfrac{500}{10}}$

${\tt \longrightarrow \cancel \dfrac{500}{10} = \boxed{\tt 50 \bf\%}}$

➤ Solution (2) :-

First, we should find the cost price by adding the selling price and the loss amount

Cost price :-

${\tt \longrightarrow 200 + 20}$

${\tt \longrightarrow Rs \: \: 220}$

Now,

Loss percentage :-

${\tt \longrightarrow \dfrac{20}{220} \times 100}$

${\tt \longrightarrow \cancel \dfrac{20}{220} \times 100 = \dfrac{1}{11} \times 100}$

${\tt \longrightarrow \dfrac{1 \times 100}{11} = \dfrac{100}{11}}$

${\tt \longrightarrow \cancel \dfrac{100}{11} = \boxed{\tt 9.09 \bf\%}}$

$\Huge\therefore$ The profit percentage of first question is 50% and the loss percentage of the second question is 9.09%.

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More to know :-

• Profit and loss are obtained for all shopkeepers in their shops. The profit is obtained when the selling price is greater than cost price. The loss is obtained when the cost price is greater than selling price. The profit and loss can also be converted into percentage format by some mathematical formulas.
• To convert the profit to percentage from, first we should divide the profit and cost price and then multiply by 100.
• To convert the loss to percentage form, first we should divide the loss and cost price and then multiply by 100.