Question

Find a single discount equivalent to successive discounts of 20% and 10%.

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Answer 1

Hi Again ! Here is your Answer :

Given :

• Successive discounts were given of :
• Firstly 20%, then of 10%

To Find :

• The equivalent discount to the Given successive discounts.

Let's Assume :

Let's Assume that the CP of the article is ₹100

We will calculate other things on the basis of this.

Solution :

Given, CP (Assumed) = ₹100

Discount % (First) = 20%

So, We will find SP , by using the formula of SP.

$\displaystyle \rm sp = cp( \frac{100 - d \%}{100} )$

$\implies \displaystyle \rm sp = 100( \frac{100 - 20}{100} )$

$\implies \displaystyle \rm sp = 100 \times \frac{80}{100}$

$\implies \displaystyle \rm \: sp = 80$

Now, another discount is given on this SP, so the final SP :

${\implies \displaystyle \rm final \: sp = previous \: sp( \frac{100 - d\%}{100} )}$

$\implies \displaystyle \rm final \: sp = 80( \frac{100 - 10}{100} )$

$\implies \displaystyle \rm final \: sp = 80 \times \frac{90}{100}$

$\implies \displaystyle \rm final \: sp = 72$

Hence, Final SP on that Article = ₹72

So, Discount given = ₹28

__________________________

Now, if we calculate an equivalent discount of those successive discounts :

$\displaystyle \rm discount \% = \frac{discount}{cp}$

$\implies \displaystyle \rm discount\% = \frac{28}{100} \times 100$

$\implies \displaystyle \rm discount\% = 28\%$

Hence, Discount % = 28%

__________________________

Hence, We infer that:

The equivalent discount for the successive discounts of 20% and 10% = 28%

Hence, the equivalent discount = 28%

Hope it helps You :]

Answer 2

Answer:

28%

Step-by-step explanation:

Let the marked price of an article be Rs. 100

Then first discount on it =Rs. 20

Price after discount =Rs. (100-20)=Rs. 80

Second discount on it =10% of Rs. 80

Rs.(80×10010)=Rs.8

Price after second discount =Rs. (80-8)=Rs. 72

Net selling price =Rs. 72

Single discount equivalent to given successive discounts =(100-72)%=28%