Question

An article marked at RS.800is sold at a discount of10% find it's cost price if the dealer makes a profit of 20% .Also find the profit percent if no discount had been allowed

Answer 1

Answer:

600

33.33%

Step-by-step explanation:

Selling price after discount of 10% on marked price=(100-10)% of marked price

90% of 800

(90/100)*800

S.p=720

The dealer makes a profit of 20% means is selling the article at 120%.

120% ------> 720

100% -------> x

x=(100*720 )/120

x=600

Then CP of article= 600

If no discount allowed,

SP will become 800

Profit= SP-CP= 800-600=200

profit% = (profit/100)*CP

Profit %=(200/100)*600=33.33%

Thus, the profit percent when no discount allowed=33.33%

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Answer 2

Solution:

Let the number of 10 rupees note be x and 20 rupees not be ( 50 - x)

Total sum = 800

Now,

10 rupee notes = 10x and

20 rupee notes = 20(50 - x)

According to the question :

$\longrightarrow \sf \: 10x + 20(50 - x) = 800⟶10x+20(50−x)=800</p><p></p><p>[tex]\longrightarrow \sf \:$10x + 1000 - 20x = 800⟶10x+1000−20x=800

$\longrightarrow \sf \:$ 10x - 20x + 1000= 800⟶10x−20x+1000=800

$\longrightarrow \sf \:$- 10x = 800 - 1000⟶−10x=800−1000

$\longrightarrow \sf \:$ - 10x = - 200⟶−10x=−200

$\longrightarrow \sf \:$x = \dfrac{200}{10}⟶x=

10

200

$\longrightarrow \sf \:$x =20⟶x=20

$\therefore∴$ Number of 10 rupee notes = 20 and number of 20 rupee notes = (50 - 20) = 30