A person sells his table at a profit of 12.5% and his chair at a loss of 8.33% but on the whole he changed rs 12 on the other hand if he sells table add at a loss of 8.33% and chair at a profit of 12.5% then the night King no loss find the CP of the table
Answers
Answer :- Let us assume that, CP of a table is Rs.T and CP of a chair is Rs.C .
we know that,
- 12.5% = 1/8 .
- 8.33% = 1/12 .
Case 1) :-
→ Profit on table - Loss on chair = Rs.12
→ (1/8)T - (1/12)C = 12
→ 3T - 2C/24 = 12
→ 3T - 2C = 288 --------- Eqn.(1)
Case 2) :-
→ Profit on chair - Loss on table = 0
→ (1/8)C - (1/12)T = 0
→ (3C - 2T)/24 = 0
→ 3C - 2T = 0 ----------- Eqn.(2)
multiply Eqn.(1) by 3 and Eqn.(2) by 2 and adding the result ,
→ 3(3T - 2C) + 2(3C - 2T) = 3*288 - 0
→ 9T - 4T - 6C + 6C = 864
→ 5T = 864
→ T = Rs.172.8 (Ans.)
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