Question

an article was make 40% above the cost price and discount of 35% was given on it make price find the gain and loss percent​

Answer 1

Answer:

Let the cost price be x

Marked up price = x + x * 40/100 = 1.4x

After 35% discount on marked up price = 1.4x - 1.4x * 35/100

= 1.4x - 0.49x

= 0.91x

The article was sold at loss = x - 0.91x = 0.09x

Loss percentage = 9%

hope it helps

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Answer 2

Let the C P of goods = Rs.x

Now, MP of goods

$\implies \: x +35\% \: of \: x = x + \frac{35x}{100} = \frac{135x}{100} = \frac{27x}{20}$

Now, the rate of discount

$\implies \: d = 20\%$

$\implies \: d = 20\% \: of \: rs \frac{27x}{20}$

$\implies \frac{20}{100} \times \frac{27x}{20} = \frac{27x}{100}$

now,

SP = MP

$\implies \: d \: = \frac{27x}{20} - \frac{27x}{100}$

$\frac{135x - 27x}{100} \: \: R S = \frac{108x}{100} = rs. = \frac{27x}{25}$

Now, SP = M.P - distance

$\implies \: \frac{27x}{20} - \frac{27x}{100}$

$\implies \: \frac{135 - 27x}{100} rs = \frac{108x}{100} = rs \frac{27x}{25}$

Now profit = SP - CP

$\implies \: \frac{27x}{25} - x = rs \frac{2x}{25}$

Profit %

$( \frac{profit}{cp} \times 100)\%$

$\implies \: \frac{2x}{25 \times x} \times 100\%$

$\implies \: 8\%$