Question

A dealer marks a damaged article at 10 % above C.P. and then allows a discount of 10%.Find his gain or loss % ?

Answer 1

Answer:

Step-by-step explanation:

Let's cp=100

Marked price=100*110%=110

Less amount=110*10%=11

SP=110-11=99

Loss amount=100-99=1%

Answer 2

A dealer marks a damaged article at 10 % above C.P. and then allows a discount of 10%. Then his loss percent is 1 %

Solution:

Given that,

Then allows a discount of 10%

Let the Cost price of article be Rs 100

A dealer marks a damaged article at 10 % above C.P

Find the marked price:

MP = CP + 10 % OF CP

MP = 100 + 10 % of 100

$MP = 100 + \frac{10}{100} \times 100$

MP = 110

Then allows a discount of 10%

Selling price = MP - 10 % of MP

SP = 110 - 10 % of 110

$SP = 110 - \frac{10}{100} \times 110$

SP = 99

Here,

SP < MP

Therefore, it is loss

Loss = CP - SP = 100 - 99 = 1

Loss percent is given as:

$Loss\ percent = \frac{loss }{ CP } \times 100\\\\Loss\ percent = \frac{1}{100} \times 100\\\\Loss\ percent = 1 \%$

Thus, loss percent is 1 %

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