Question

dealer marks his goods at 35% above the cost price and allows a discount of 20% on the Marked price find his gain or loss percent

Answer 1

Let assume
Cp=100
Then mrp=135 (35% of 100=35 )

Now he allows the discount of 20%
20% of 135
=27

Then sp=135-27=108

Sp>cp==> profit

Profit=108-100=8

Profit%=profit /cp x100

=8/100 x 100 =8%


Direct

Cp=100

Sp=
$100 \times \frac{135}{100} \times \frac{80}{100} = 108$
Profit =8

Profit %=8%

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}\circ\circ\circ\circ$

$Let\:the\:CP\:of\:goods\:be\:'x'.\\\\Marked\:Price\:of\:the\:goods\\\\=x+\bigg(\frac{35}{100}\times x\bigg)\\\\=Rs.\:1.35x\\\\Discount=20\%\:of\:1.35\:x\\\\=\frac{20}{100}\times1.35x\\\\=0.27x\\\\SP=MP-discount\\\\=1.35x-0.27x\\\\=Rs.\:1.08x\\\\As\:SP\:is\:more\:than\:CP,so\\\\there\:is\:profit\\\\Profit=SP-CP\\\\=1.08x-x\\\\=0.08x\\\\Profit\:percent=\frac{P}{CP}\times100\\\\=\frac{0.08x}{x}\times100\\\\=\boxed{8\%\:answer}$