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.