Explanation:
Let's start by calculating the cost price (CP) of the sofa set. We know that Fazal spent Rs. 840 on repairing it, but we don't know the original price he paid for it. Let's assume that he bought it for x rupees.
So, the total cost price of the sofa set for Fazal would be:
CP = x + 840
Now, we know that Fazal sold the sofa set at a loss of 1.25, which means that the selling price (SP) was 1.25 times less than the cost price (CP). Mathematically,
SP = CP - 1.25CP
SP = 0.75CP
We also know that Fazal sold the sofa set for Rs. 78,000, so we can write:
0.75*CP = 78,000
Solving for CP:
CP = 78,000 / 0.75
CP = 1,04,000
Therefore, the cost price of the sofa set for Fazal was Rs. 1,04,000.