Question

A shopkeeper sells a product after allowing two successive discounts of 10% and 20% on it. Find the profit percent if the profit is 30% of the price by which the product is marked up?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The profit percentage is 60%

Step-by-step explanation:

Given as :

The two successive discount are 10% and 20%

i.e d_1 = 10%

And d_2 = 20%

Or, equivalent discount =d = d_1 + d_2 - \dfrac{d_1 d_2}{100}

Or, d = 10% + 20% - \frac{10\times 20}{100}

Or, d = 30% - 2%

∴    d = 28%

So, The equivalent discount = d = 28%

Again

Let The mark up price = m.p = Rs 100

So, The profit = 30% of mark up

Or the profit = 0.3 × 100 = Rs 30

Discount % = \dfrac{m.p - s.p}{m.p}

Or, 20% = 1 - \dfrac{s.p}{100}

Or, s.p = 0.8 × 100

So, selling price = s.p = Rs 80

Again

∵  profit = s.p - c.p

or, rs 30 = rs 80 - c.p

Or, c.p = rs 80 - rs 30

So, c.p = rs 50

i.e cost price = rs 50

Again

profit % = \dfrac{s.p - c.p}{c.p}

Or, Profit % = \dfrac{80-50}{50}

Or, profit % = \dfrac{3}{5}

Or, Profit = 60%

Hence, The profit percentage is 60%  Answer