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?
1.30%
2.17.5%
3.25%
4.15%
5. 20%​

Answer 1

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