Question

By selling an article for 1080 a man give 10% discount and earn 30% profit if the article is sold at 5% discount then what should be the profit percent

Answer 1

Answer:

Profit percent, P%= 37.22%

Step-by-step explanation:

In the question,

When Selling Price, SP = 1080 Rs.

Discount given, D = 10%

So,

Let us take Marked Price of the article be, MP = x

So,

$x-\frac{10x}{100}=1080\\x-0.1x=1080\\0.9x=1080\\x=1200$

So,

Marked Price, MP = 1200 Rs.

Now,

Also he had the profit of 30% on selling at 1080 Rs.

So,

Let us say Cost Price of the article be, CP = y

So,

$y+\frac{30y}{100}=1080\\y+0.3y=1080\\1.3y=1080\\y=830.769 Rs.$

Therefore,

Cost Price of the article, CP = 830.769 Rs.

Now, if the article is sold at the discount of 5% the Selling price, SP should be = $1200-\frac{5}{100}\times 1200=1200-60=1140Rs.$

So,

Selling Price, SP = 1140 Rs. (at 5% discount)

Therefore,

Profit percent, P% will be,

$=\frac{SP-CP}{CP}\times 100\\=\frac{1140-830.769}{830.769}\times 100\\ =37.22$

Therefore, the Profit Percent, P% = 37.22%