Question

What is profit or loss percent of sp =rs 960 amd cp=rs 800

Answer 1

➤ Given :-

Cost price of an item :- ₹800

Selling price of an item :- ₹960

$\:$

➤ To Find :-

The profit or loss percentage obtained.

$\:$

★ How to do :-

Here, we are given with the cost price and the selling price of an item. We are asked to find the profit or loss percentage of that item. We know that to find the percentage value of the profit, we need the value of profit in the rupees form. We aren't given with the profit amount. So, first we should find the profit rupees by subtracting the selling price and the cost price. Here, we can say that we are obtaining with profit because, the selling price is greater than the cost price. After finding the profit rupees we'll find it's percentage value by using the formula of percentage. So, let's solve!!

$\:$

➤ Solution :-

Profit rupees :-

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

Substitute the given values.

${\tt \leadsto 960 - 800}$

Subtract the values to get the profit rupees.

${\tt \leadsto Rs \: \: 160}$

$\:$

Now, let's find the profit percentage of this item

Profit percentage :-

${\sf \leadsto \underline{\boxed{\sf \dfrac{Profit}{Cost \: price} \times 100}}}$

Substitute the given values.

${\tt \leadsto \dfrac{160}{800} \times 100}$

Write the fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{160}{800} \times 100 = \dfrac{1}{5} \times 100}$

Now, multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 100}{5} = \dfrac{100}{5}}$

Write the obtained fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{100}{5} = 20}$

$\:$

${\red{\underline{\boxed{\bf So, \: the \: profit \: percentage \: is \: 20 \%.}}}}$

━━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

$\begin{gathered} \small \boxed{\begin{array} {cc} \large \dag \: \sf More \: formulas \\ \\ \sf \bigstar \: Loss \: = CP - SP \\ \\ \sf \bigstar \: Loss \: percent = \dfrac{loss}{cost \: price} \times 100 \\ \\ \sf \bigstar \: Cost \: price = \dfrac{100}{(100 + profit\%)} \times sp \\ \\ \sf \bigstar \: Selling \: price = \dfrac{(100 + profit\%)}{100} \times CP \\ \\ \sf \bigstar \: Cost \: price = \dfrac{100}{(100 - loss\%)} \times 100 \\ \\ \sf \bigstar \: Selling \: price = \dfrac{(100 - loss\%)}{100} \times CP \end{array}} \end{gathered}$