A person sells his table at a profit of 12% and chair at a loss of 8 % but on the whole he gains Rs.25. On the other hand, if he sells the table at a loss of 8%and the chair at a profit of 12% then he neither gains nor loses. Find the cost price of the table.
Given:
Profit on table =
Loss on chair =
Overall gain in the first case = Rs. 25.
In the second case, no profit or loss.
Formula used:
Profit % = × 100%
Loss % = × 100%
SP = CP (100 + P)%
SP = CP (100 - L)%
Solution:
Let the CP of the table and chair be "T" and "C"
T × = C × (1/8)
=>
=>
Again the CP of the table be 3x
And chair = 2x
=> = 25
=> 5x = 24 × 25
=> x = 24 × 5 = 120
The CP of table = 3x = 3 × 120 = Rs. 360.
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