Question

For a trader, marked price of a refrigerator = 15,680 exclusive of GST, (GST is 12%). Gagan
customer for this refrigerator, asks the trader to reduce the price of the refrigerater to such an exten
that its reduced price plus GST is equal to the marked price of the refrigerator. Find the required
reduction​

Answer 1

Answer:

Let us assume the marked price of the refrigerator be Rs. x.

Which is inclusive of GST (12%)

So,

x + 12% of x = 15,680

x = Rs. 14,000

Initial marked price = Rs. 14,000

Now,

Let Gagan asked for priced reduction of Rs. y.

So, the new price = 14,000 – y

And, GST on new price = 12% of (14,000 – y)

From the question,

14,000 – y + 0.12(14,000 – y) = 14,000

-1.12y + 1680 = 0

y = 1500

Therefore, the required reduction in price is Rs. 1500.

Answer 2

Answer:

Let us assume the marked price of the refrigerator be Rs. x.

Which is inclusive of GST (12%)

So,  

x + 12% of x = 15,680

x = Rs. 14,000

Initial marked price = Rs. 14,000

Now,

Let Gagan asked for priced reduction of Rs. y.

So, the new price = 14,000 – y

And, GST on new price = 12% of (14,000 – y)

From the question

14,000 – y + 0.12(14,000 – y) = 14,000

-1.12y + 1680 = 0

y = 1500

Therefore, the required reduction in price is Rs. 1500.