Question

if an article is sold at a gain of 12% instead of a loss 8% then the seller get Rs.48 more the S.P(selling price) of the article is ?​

Answer 1

Given:

✰ If an article is sold at a gain of 12% instead of a loss 8%, then the seller get Rs.48 more.

To find:

✠ The selling price ( S.P. ) of the article.

Solution:

First we will assume the the cost price of an article be Rs. x. Convert the percentage of gain and the percentage of loss into simple decimal number that is gain and loss of an article. After that doing required calculations, we will find selling price of an article.

Let's find out...!

Let the cost price of an article be x

Gain 12% means total increasing is 112 in the C.P.

Loss 8% means total decreasing is 92 in the C.P.

Then,

➛ Gain - loss = 48

➛ ( 112x/100 ) - ( 92x/100 ) = 48

➛ ( 112x - 92x )/100 = 48

➛ 20x/100 = 48

➛ x/5 = 48

➛ x = 5×48

➛ x = 240

Now,

➛ Selling Price = ( 100 + gain )CP/100

➛ Selling Price = 112 × 240/100

➛ Selling Price = 112 × 2.4

➛ Selling Price = Rs. 268.80

Another method (general):

CP = x

Gain = 12%

➛ SP = (100+g)CP/100

➛ SP = 112x/100 ...(1)

Loss = 8%

➛ SP = (100-l)CP/100

➛ SP = 92X/100 ...(2)

Their difference = 48

Continue from above ✔

∴ The selling price ( S.P. ) of the article = Rs. 268.80

_______________________________