Question

Calculate the gain per cent if a watch bought for ₹ 450, was shold for ₹ 475 ​

Answer 1

➤ Given :-

Cost price of the watch :- ₹ 450

Selling price of the watch :- ₹ 475

➤ To Find :-

Gain percentage of the watch

➤ Formula required :-

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

➤ Solution :-

First, we should find the gain in numerical format by subtracting the selling price and the cost price and then we should calculate the gain percentage by using the given formula

Gain :-

${\tt \longrightarrow 475 - 450}$

${\tt \longrightarrow Rs \: \: 25}$

Now,

Gain percentage :-

${\tt \longrightarrow \dfrac{25}{450} \times 100}$

${\tt \longrightarrow \cancel \dfrac{25}{450} \times 100 = \dfrac{1}{18} \times 100}$

${\tt \longrightarrow \dfrac{1 \times 100}{18} = \dfrac{100}{18}}$

${\tt \longrightarrow \cancel \dfrac{100}{18} = \boxed{\tt 5.55 \bf\%}}$

$\Huge\therefore$ The gain percentage of the watch is 5.5%.

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$\dashrightarrow$ Some related formulas :-

Loss :- ${\boxed{\tt CP-SP}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$