Question

An article is marked to sell at a profit of 16%.if is sold for Rs 62.50 less,there will be loss of 9%.find the cost price

Answer 1

Let the CP be x.

$Then, \: The \: marked \: price \: is \: \: \frac{116x}{100} = 1.16x$

A/Q :-

$\frac{116x}{100} - 62.50 = \frac{91x}{100} \\ \\ \\ \frac{116x}{100} - \frac{91x}{100} = 62.50 \\ \\ \frac{25x}{100} = \frac{6250}{100} \\ \\ x = \frac{6250 \times 100}{25 \times 100} \\ \\ x = 250$


Hence, The cost price was ₹250.






MARK BRAINLIEST......

Answer 2

The cost price is RS.250

Step-by-step explanation:

Let the cost price be x

Profit% = 16%

SP=CP+Profit

SP=x+0.16x

SP=1.16x

If is sold for Rs 62.50 less,there will be loss of 9%

New SP = 1.16x-62.50

CP =x

Loss= 0.09x

SP=CP-Loss

SP=x-0.09x

SP=0.91x

So, 1.16x-62.50=0.91x

1.16x-0.91x=62.50

0.25x=62.50

$x=\frac{62.50}{0.25}$

x= 250

Hence The cost price is RS.250

#Learn more:

An article bought for Rs 350 is sold at a profit of 20%.Find its selling price.

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