Question

Mahesh bought a watch for Rs1520. After one year he sold it for Rs1900. What was his profit percentage? ​

Answer 1

Question:-

Mahesh bought a watch for Rs1520. After one year he sold it for Rs1900. What was his profit percentage? 

Answer:-

Selling price of watch A and watch B= Rs. 425

Let cost price of watch A=x

Profit =10%

∴

100

110

x=425

x=386.36

Let cost price of watch B=y

Loss =10%

∴

100

90

y=425

y=472.22

Net cost price =x+y=858.5858

Net selling price =850

Loss%=

858.58

858.5858−850

×100=1%

Answer 2

➤ Given :-

Cost price of watch :- ₹ 1520

Selling price of watch, :- ₹ 1900

➤ To Find :-

Profit percentage of the given sum.............

➤ Formula required :-

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

➤ Solution :-

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

$\tt \longrightarrow 1900 - 1520$

${\sf \longrightarrow Rs \tt \: \: 380}$

Now,

Profit percentage :-

${\tt \longrightarrow \dfrac{380}{1520} \times 100}$

${\tt \longrightarrow \dfrac{380}{ \cancel{1520}} \times \cancel{100} = \boxed{\tt \dfrac{380}{76} \times 5}}$

${\tt \longrightarrow \dfrac{380 \times 5}{76} = \dfrac{1900}{76}}$

${\tt \longrightarrow \cancel \dfrac{1900}{76} = \boxed{\tt 25 \bf\%}}$

$\Huge\therefore$ The profit percentage of the given sum is 25 ${\bf\%}$.

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$\dashrightarrow$ Some related formulas :-

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

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

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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.