Question

a dealer allows 10% discount on the list price of an article and he still gains 8% on the cost price find his gain percent had he sold it on the list price.​

Answer 1

Answer:

Let list price be x

As given

Discount=10%on x=10/100×x=x/10

So, SP=LP- Discount=x- x/10=9x/10

As given

gain =8%

Then CP=SP×100/100+gain=9x/10×100/100+8=9x/10×100/108=5x/6

If SP= LP=x

Here SP is greater than CP

So, gain =SP- CP=x-5x/6=6x-5x/6=x/6

Then gain%=x/6×100/5x×6=20%

Therefore gain% = 20%

Answer 2

The gain percent will be 20% if he sold it on the list price.

Step-by-step explanation:

Consider the provided information.

Let the cost price is 100.

He gains 8% profit, that means the selling price is:

$CP=100+\frac{8}{100}\times100\\CP=100+8\\CP=108$

Thus, the cost price is 108.

Dealer allow 10% discount, that means you need to pay only 90% of the listed price.

Let listed price is x.

$x\times\frac{90}{100}=108\\\\x=\frac{108}{0.9}\\\\x=120$

Hence, the listed price is 120.

If shopkeeper sold it on the list price.

Profit = selling price - cost price

Profit = 120 - 100 = 20

$profit\%=\frac{20}{100}\times 100=20\%$

Thus, the gain percent will be 20% if he sold it on the list price.

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