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The Du Pont Chart

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Chapter Twenty-Seven

Syllabus topic 1, "Ratio Analysis: Meaning, classification, Du Point Chart, advantages and limitations (Based on Vertical Form of Financial statements)"

Pages 72 to 74 of 162

In one line

The Du Pont chart splits the return on capital employed into a margin and a turnover, so that a change in the return can be traced to whichever of the two caused it.

The identity

Return on capital employed = (PBIT / Net sales) x (Net sales / Capital employed)

The net sales cancel, so the right side is PBIT over capital employed, which is the left side. The identity is true by construction, and that is its strength: it can never fail to reconcile, so a decomposition that does not multiply out has an arithmetic error in it.

The two factorsNameWhat it measures
PBIT / Net salesProfit margin, or the net operating profit ratio on PBITHow much of each rupee sold is kept
Net sales / Capital employedCapital turnoverHow many rupees of sales each rupee of capital produces

Worked on Sunrise

Rs
Profit before interest and tax3,80,000
Net sales20,00,000
Capital employed19,00,000

Return on capital employed, computed directly.

3,80,000 over 19,00,000 times 10020.00 per cent

The same return, decomposed.

Profit margin, 3,80,000 over 20,00,00019.00 per cent
Capital turnover, 20,00,000 over 19,00,0001.0526 times
Product, 19.00 times 1.052620.00 per cent

The two agree, and they must.

Why the split matters

Because two companies can earn the same return by opposite means, and the management action needed is opposite too.

SunriseA jewellerA supermarket
Profit margin, per cent19.0040.004.00
Capital turnover, times1.050.505.00
Return on capital employed, per cent20.0020.0020.00

All three earn 20 per cent and none of them is in the same business. The jeweller makes its money on the margin and sells slowly; the supermarket makes almost nothing on each sale and sells its stock over and over. A jeweller trying to raise its return by selling faster is fighting its own model, and so is a supermarket trying to raise its margin.

This is what the chart is for: it tells a manager which of the two levers is available.

The chart, drawn out

The Du Pont chart is the identity drawn as a tree, with each factor broken down into the figures that make it.

LevelLeft branchRight branch
TopReturn on capital employed, 20.00 per cent
First splitProfit margin, 19.00 per centCapital turnover, 1.0526 times
Second split, leftPBIT Rs 3,80,000 over net sales Rs 20,00,000
Second split, rightNet sales Rs 20,00,000 over capital employed Rs 19,00,000
Third split, leftPBIT = gross profit 6,00,000 less operating expenses 2,40,000 plus net non-operating income 20,000
Third split, rightCapital employed = fixed assets 14,00,000 plus investments 1,00,000 plus working capital 4,00,000
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