Why does adding 30 percent to my cost give me less than 30 percent profit?

You paid Rs 200 to make or buy a product. You add 30 percent and price it at Rs 260. You wanted 30 percent profit, but when you check your sums, the profit looks smaller. You are not wrong, and the arithmetic is fine. You have run into the difference between markup and margin. They both use the word percent, but they divide by different numbers.

The sum, step by step

Start with the cost: Rs 200.

Add 30 percent of the cost: 30 percent of 200 is Rs 60. So the price is 200 plus 60, which is Rs 260.

The profit is price minus cost: 260 minus 200, which is Rs 60.

So far so good. Now ask: what percent of the selling price is that Rs 60? Divide the profit by the price: 60 divided by 260 is about 0.231. That is 23.1 percent.

So you earned 30 percent on top of your cost, but only 23.1 percent of what the customer paid.

Markup versus margin in one line

• Markup is profit divided by cost. Here, 60 divided by 200 is 30 percent.
• Margin is profit divided by selling price. Here, 60 divided by 260 is 23.1 percent.

Same Rs 60, two different percentages, because the bottom number is different. The selling price is always bigger than the cost, so a margin percentage is always smaller than the matching markup percentage.

For a deeper look, read markup vs margin: the difference explained.

What if you really want a 30 percent margin?

If you want profit to be 30 percent of the selling price, the cost must be the other 70 percent. So cost equals 70 percent of price. To find the price, divide the cost by 0.70.

For a Rs 200 cost: 200 divided by 0.70 is Rs 285.71 (rounded to the paisa).

Check it: 30 percent of 285.71 is about Rs 85.71. Price minus profit is 285.71 minus 85.71, which is Rs 200. It works.

So for a true 30 percent margin you need to charge Rs 285.71, not Rs 260. The gap of Rs 25.71 per item is real money. Selling a hundred pieces at the lower price instead of the higher one would leave about Rs 2,571 on the table, in this illustration.

Why the formula is not the same as multiplying by 1.3

The tempting shortcut is to multiply by 1.30. That gives markup. The right shortcut for margin is dividing by one minus the margin you want. For 30 percent, that is dividing by 0.70. For 40 percent margin, divide by 0.60. For 25 percent margin, divide by 0.75. Our post on price from target margin formula gives the formula in full, and converting margin to markup quickly shows how to switch between the two.

Which should you track?

Neither is wrong, but you must know which one you are using. Many sellers think in markup because it is easy to add to cost. Many finance conversations, however, use margin. If you compare your numbers with someone else's, make sure both of you mean the same thing.

A good habit: pick a target margin, work out the price by dividing, and then check the markup that results. In our example, a Rs 285.71 price over a Rs 200 cost is a markup of about 42.9 percent. That is the markup you need for a 30 percent margin.

Do not forget the other costs

All these numbers use only the product cost. Your real costs also include packing, shipping you absorb, payment fees, advertising and returns. A 30 percent margin on the product cost may shrink a lot after those. Read landed cost per unit explained and gross margin vs net margin for a small seller to see the full picture.

The takeaway

Adding 30 percent to cost gives a 30 percent markup and a 23.1 percent margin. If you want a 30 percent margin, divide the cost by 0.70 and charge Rs 285.71. Always know which of the two you are quoting.