A person sells a product for Rs 2500 and
made a profit of 25%. Calculate the profit
percent if he had sold that product for Rs
2050.
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Given :
- Condition 1 : Selling price ( SP ) = ₹ 2500
- Profit % = 25 %
- Condition 2 : Selling price ( SP ) = ₹ 2050
To find :
- Profit percentage ( % )
Formulas :
✯ Cost Price = Profit % / 100 × CP = SP
✯ Profit = Selling price - Cost price
✯ Profit % = Profit / CP × 100
According to the question :
Let the Cost price ( CP ) be ' x '
Condition 1 :
✯ Formula : Profit % / 100 × CP = SP
⟹ 100 + 25 % / 100 × x = 25000
⟹ 125 / 100 × x = 25000
⟹ x = 25000 × 100 / 125 ( reciprocal )
⟹ x = 2000
➳ CP = ₹ 2000
Condition 2 :
✯ Profit = SP of condition 2 - x
⟹ 2050 - 2000
➳ 50
✯ Formula : Profit % = Profit / CP × 100
⟹ Profit % = 50 / 2000 × 100
➳ Profit % = 2.5 %
So, It's Done !!
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