Question

A refrigerator and a television were bought for ₹10000 each. The shopkeeper made a loss of 5% on the refrigerator and a profit of 15% on the television. Find the gain or loss percent on the
whole transaction​

Answer 1

➤ Given :-

Cost of a refrigerator :- ₹ 10000

Cost of a television :- ₹ 10000

Loss percentage of refrigerator :- 5%

Profit percentage of television :- 15%

➤ To Find :-

Gain or loss percentage of whole transaction....

➤ Solution :-

First, we should find the value of the profit and loss in the numerical format.............

Loss of refrigerator :-

${\tt \longrightarrow 5 \bf\% \tt \: \: of \: \: 10000}$

${\tt \longrightarrow \dfrac{5}{100} \times 10000}$

${\tt \longrightarrow \dfrac{5}{\cancel{100}} \times \cancel{10000} = 5 \times 100}$

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

Profit of television :-

${\tt \longrightarrow 15 \bf\% \tt \: \: of \: \: 10000}$

${\tt \longrightarrow \dfrac{15}{100} \times 10000}$

${\tt \longrightarrow \dfrac{15}{\cancel{100}} \times \cancel{10000} = 15 \times 100}$

${\tt \longrightarrow \boxed{\tt Rs \: \: 1500}}$

Here,

The profit of the television is greater than the loss of the refrigerator.........

So,

Total profit percent of the sale :-

${\tt \longrightarrow \dfrac{1500 - 500}{10000} \times 100}$

${\tt \longrightarrow \dfrac{1000}{10000} \times 100}$

${\tt \longrightarrow \dfrac{1000}{ \cancel{10000}} \times \cancel{100} = \dfrac{1000}{100}}$

${\tt \longrightarrow \cancel \dfrac{1000}{100} = \boxed{\tt 10 \bf\%}}$

$\Huge\therefore$ The profit percentage of the whole transaction is 10 ${\bf\%}$.

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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.