Math, asked by mukul568, 1 year ago

A shopkeeper earned a profit of 5 %by selling a television for ₹8500. Find the cost of price of the television.

Answers

Answered by TPS
13
Selling price of TV = ₹8500

Profit = 5%

Cost price = ?

We know that

percent \: profit = \frac{sp - cp}{cp} \times 100 \\ \\ \Rightarrow 5 = \frac{8500 - cp}{cp} \times 100

\Rightarrow cp = \frac{(8500 - cp) \times 100}{5} \\ \\ \Rightarrow cp = 20(8500 - cp)

\Rightarrow cp = 20 \times 8500 -20 cp \\ \\ \Rightarrow 21cp = 170000 \\ \\ \Rightarrow cp = \frac{170000}{21}
\Rightarrow cp =8095.24

Cost price is ₹8095.23

____________
Easy way:

profit = 5%

SP = ₹8500

CP = [SP/(100+Profit)] × 100

=> CP = 8500/105 × 100

=> CP = ₹8095.25

TPS: Use the easy way for solving..
mukul568: right answer
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