Question

Raman sold an article at 8%gain. had it been sold for rupee.150 more, the gain would have been 14%.if he had sold it for rupee.2,650,then gain %would have been

Answer 1

Answer:6 percent

Step-by-step explanation:

In the file below

Answer 2

Answer: Gain % will be 6% if he sold at Rs.2650.

Step-by-step explanation:

Let the cost price of an article be 'x'

Raman sold an article at 8% gain :

So, Selling price will be

$\frac{100+8}{100}\times x\\\\=1.08x$

Similarly, if he sold at 14% gain:

So, Selling price will be

$\frac{100+14}{100}\times x\\\\=\frac{114}{100}\times x\\\\=1.14x$

According to question, their difference is for Rs. 150.

so, it becomes,

$1.14x-1.08x=150\\\\0.06x=150\\\\x=\frac{150}{0.06}\\\\x=2500$

Therefore, cost price = Rs. 2500

And we have given that Selling price of an article = Rs. 2650

So, Amount of profit will be

$2650-2500\\\\=150$

So, Gain percentage is given by

$\frac{Gain}{Cost}\times 100\\\\=\frac{150}{2500}\times 100\\\\=6\%$

Hence, Gain % will be 6% if he sold at Rs.2650.