Answer :
Step-by-step explanation:
Selling Price when there is a profit (SP1) = ₹9000
Profit Percentage (P) = 12.5%
New Selling Price (SP2) = ₹7600
Steps:
Calculate the Cost Price (CP) using the profit percentage and SP1:
\text{CP} = \frac{\text{SP1}}{1 + \frac{P}{100}}
CP=
1+
100
P
SP1
\text{CP} = \frac{9000}{1 + \frac{12.5}{100}} = \frac{9000}{1.125} = 8000 \text{ rs}
CP=
1+
100
12.5
9000
=
1.125
9000
=8000 rs
Calculate the profit or loss percentage for the new selling price (SP2):
\text{Profit/Loss Percentage} = \left( \frac{\text{SP2} - \text{CP}}{\text{CP}} \right) \times 100
Profit/Loss Percentage=(
CP
SP2−CP
)×100
\text{Profit/Loss Percentage} = \left( \frac{7600 - 8000}{8000} \right) \times 100 = \left( \frac{-400}{8000} \right) \times 100 = -5\%
Profit/Loss Percentage=(
8000
7600−8000
)×100=(
8000
−400
)×100=−5%
A negative result indicates a loss.
Thus, the loss percentage is 5%.
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