Given,
Cost of furniture inclusive of VAT is = Rs 7150
VAT = 10%
Let us consider the original cost of furniture be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 7150
(100x+10x)/100 = 7150
110x/100 =7150
11x/10 = 7150
11x = 7150 × 10
x = 71500/11
= 6500
∴ Original cost of the furniture is Rs 6500