A real estate company sold each of the two houses for ₹85100 .On such transaction the company had a profit of 15% for the first one and a loss of 7.5% for the second one . What was the overall profit or loss of the company?
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Sᴏʟᴜᴛɪᴏɴ :-
case ❶ :-
→ SP = ₹85100
→ Profit = 15% .
→ CP = (SP * 100) /(100 + P%)
→ CP = (85100 * 100) / (100 + 15)
→ CP = (85100 * 100) / 115
→ CP = ₹74,000
Case ❷ :-
→ SP = ₹85100
→ Loss = 7.5% .
→ CP = (SP * 100) /(100 - L%)
→ CP = (85100 * 100) / (100 - 7.5)
→ CP = (85100 * 100) / (92.5)
→ CP = ₹92,000
Therefore,
→ overall SP = 85100 + 85100 = ₹170200
→ overall CP = 74000 + 92000 = ₹166000
So,
→ Overall Profit = SP - CP
→ Overall Profit = 170200 - 166000 = ₹4200 .
And,
→ Overall Profit% = (Profit in Rs. * 100)/CP
→ Overall Profit% = (4200 * 100) / 166000 ≈ 2.53% (Ans.)
Hence, overall profit % of the company is 2.53% .
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