Other than getting the discount of 12% on the estimated cost of furniture and actual miscellaneous expenditure being Rs. 10200 instead of the estimated one, the family's estimated cost is correct. What is the total amount spent by the family in renovating its house?

Estimated cost of furniture and miscellaneous expenditure
$$\eqalign{ & = \text{Rs. } \frac{13+8}{100}\times120000 \cr & = \text{Rs. } \frac{21}{100}\times120000 \cr & = \text{Rs. 25200} \cr & \text{Actual cost of furniture} \cr & = \text{Rs. } \frac{88}{100}\times\frac{13}{100}\times120000 \cr & = \text{Rs. 13728} \cr} $$
Actual cost of furniture and miscellaneous expenditure
  = Rs. (13728 + 10200)
  = Rs. 23928
Total amount spent in renovating the house
  = Rs. (120000 - 25200 + 23928)
  = Rs. 118728