The difference comes down to what you mean by margin.
There are two common definitions:
-
Markup (profit as % of cost price)
Formula:
[
\text{Selling Price} = \text{Cost Price} \times (1 + \text{markup})
]
So:
[
\text{Cost Price} = \frac{\text{Selling Price}}{1 + \text{markup}}
]
For your example:
[
\frac{3665}{1.10} = 3331.82
]
-
Profit Margin (profit as % of selling price)
Formula:
[
\text{Margin} = \frac{\text{Profit}}{\text{Selling Price}}
]
Therefore:
[
\text{Cost Price} = \text{Selling Price} \times (1 - \text{margin})
]
For a 10% margin:
[
3665 \times 0.90 = 3298.50
]
So your formula,
[
\text{Cost Price} = \frac{\text{MRP}}{1 + 10%}
]
is correct if "10%" refers to markup, not profit margin.
If your business says, "We keep a 10% margin," many people actually mean a 10% markup in everyday usage, even though technically "margin" and "markup" are different.
So for MRP = ₹3,665:
- 10% markup → Cost Price = ₹3,331.82
- 10% profit margin → Cost Price = ₹3,298.50
Which definition does your business use?