Question

The marked price of an article is 3,500 and rate of GST is 12%. A shopkeeper
allows a discount of 20% and still makes a profit of 10%. Find the original cost
price of the article and the selling price including GST.​

Answer 1

Answer:

original cost = 3220

12%gst=420

20%discount=700

10%profit=350

Answer 2

Given,

• Marked price = Rs 3500
• GST = 12 %

So Selling Price,

SP = 3500 + 12% of 3500

$\implies\bold{SP=3500+420}$

$\implies\bold{SP=Rs\:3920}$

After discount the new Selling price,

SP(new) = 3920 - 20% of 3920

$\implies\bold{SP_(new)=3920-784}$

$\implies\bold{SP_(new)=Rs\:3136}$

Profit = 10 %

Let the cost price(CP) be x.

So,

SP = CP + 10% of CP

$\implies\bold{3136=x+\frac{x}{100}}$

$\implies\bold{3136=\frac{101x}{100}}$

$\implies\bold{313600=101x}$

$\implies\bold{x=3104.95}$

As,

GST = 12%

So,

SP including GST = 3104.95 + 12% of 3104.95

$\implies\bold{SP+GST=3104.95+372.594}$

$\boxed{\bold{\therefore\:SP+GST=Rs\:3477.544}}}$