Question

11. After allowing a discount of 12% on the market
price of an article. It is sold for Rs 220 ks
marked price is
a 1000
(c) 8000​

Answer 1

Step-by-step explanation:

Given:

1. discount=12%
2. S.P after giving discount=220.

To find: Marked price=?

Let x be marked price.

12% of x = 12x/100.

Marked price - discount=Selling Price.

=> x-12x/100=220

=> 100x-12x/100=220

=> 88x/100=220.

=> x=22000/88

=> x= 250.

The Marked Price is 250.Rs

Answer 2

Correct question :-

After allowing a discount of 12% on the marked price if an article, it is sold for Rs. 220. Find its marked price.

Explanation :-

Given :

Discount = 12%

Selling Price = Rs 220

To Find :

Marked price = ?

Solution :

We can find marked price by two method.

First method (by using formula),

$\sf{}\bf{Marked\ Price=\dfrac{Sold\ Price\times 100}{100-Discount\%}}$

$\sf{}\implies \dfrac{220\times 100}{100-12}$

$\sf{}\implies \dfrac{22000}{88}$

$\sf{}\implies Rs.250$

Second method (by assuming marked price as “x”)

Let the marked price be “x”

After allowing a discount of 12% on the marked price of an article:

$\sf{}\implies \dfrac{12x}{100}$

$\sf{}\implies \dfrac{6x}{50}$

$\sf{}\implies \dfrac{3x}{25}$

We know SP = MP - Discount

$\sf{}\implies 220= x-\dfrac{3x}{25}$

$\sf{}\implies 220= \dfrac{25x-3x}{25}$

$\sf{}\implies 220= \dfrac{22x}{25}$

$\sf{}\implies 5500= 22x$

$\sf{}\implies \dfrac{5500}{22}= x$

$\sf{}\therefore x=Rs.250$

Therefore,marked price is equal to Rs.250