A stock you own falls 50%. It only needs to climb 50% to get back — surely? It needs 100%. This is one of the most important pieces of arithmetic in investing, because it is the reason every rule about protecting capital exists, and the reason a big loss is so much worse than it first looks.
Why the gain is always bigger than the loss
- loss
- the fall, in percent
- 100 − loss
- what is left of your capital after the fall
Example: A 50% loss: 50 ÷ (100 − 50) = 50 ÷ 50 = a 100% gain needed.
| If you lose… | You need to gain… | Because you are left with… |
|---|---|---|
| 10% | ~11% | 90 of your 100 |
| 20% | 25% | 80 |
| 33% | ~50% | 67 |
| 50% | 100% | 50 |
| 75% | 300% | 25 |
| 90% | 900% | 10 |
Fall one foot into a pit and you step out. Fall ten feet in and you cannot climb the same one foot — you must climb all ten. Digging down is easy; getting back to ground level is the hard, unequal part.
A price is the ground. A fall digs a pit measured from where you stood, but the recovery is measured from the bottom of the pit — a smaller base — so it must always be a bigger jump than the drop that made it.
Enter any loss and see the exact gain required to get back to even. Push it past 50% and watch the recovery number run away from you.
Why this justifies every risk rule
- Size positions so one loss is survivable
- Cut a loss before it compounds
- Avoid leverage, which digs faster
- Cheap, boring, and it works
- Needs an outsized, uncertain gain
- Tempts averaging down into a faller
- Encourages revenge risk-taking
- Where most retail capital is lost
A share you own falls from ₹400 to ₹100. What gain from here is needed just to break even?
50% gir gaya toh 50% se wapas nahi aayega — 100% chahiye, kyunki gain ab bache hue kam paise pe ginte hain. 20% pe 25%, 50% pe 100%, 90% pe poore 900%. Jitna gehra gaddha, utni bada chhalaang. Isiliye har position ka nuksaan pehle se cap karo — gaddha chhota rakho, taaki ek accha saal use bhar de.
- A percentage gain is measured on the capital left after a fall, so recovery always needs a bigger move than the loss.
- A 20% loss needs 25% back; a 50% loss needs 100%; a 90% loss needs 900%.
- The asymmetry accelerates, which is why deep losses are so hard to undo.
- It is the arithmetic behind stop-losses, position sizing and avoiding leverage.
- Cap the loss on any single position in advance — keeping holes shallow beats climbing out of deep ones.
Mark it done to track your progress through the curriculum.
Common questions
Short, direct answers to what people ask about this topic.
- why does a 50 percent loss need a 100 percent gain
- Because the gain is measured against the smaller amount left after the fall, not against the original. A 50% loss on ₹100 leaves ₹50, and getting from ₹50 back to ₹100 is a ₹50 rise on a ₹50 base — a 100% gain. The percentage needed to recover always exceeds the percentage lost, and the gap widens fast: a 20% fall needs 25% back, a 50% fall needs 100%, and a 90% fall needs 900%.
- what percentage gain to recover a 20 percent loss
- A 25% gain. After a 20% fall, ₹100 becomes ₹80, and rising from ₹80 back to ₹100 is a ₹20 gain on an ₹80 base, which is 25%. The recovery percentage is always larger than the loss because it is calculated on the reduced capital, and this asymmetry is the whole reason position sizing and stop-losses exist — avoiding the deep hole is far easier than climbing out of it.
- how do I calculate the gain needed to break even after a loss
- The required gain is your loss divided by what remains after it. After a 40% fall you keep 60%, and 40 ÷ 60 is about 67%, so you need a 67% gain to break even. Written as a formula it is loss ÷ (100 − loss); a break-even or averaging calculator does it instantly. The point to remember is that the deeper the hole, the disproportionately larger the climb back out.
- what is drawdown in a portfolio
- Drawdown is the drop from a portfolio’s peak value to its lowest point before it recovers, usually stated as a percentage. A portfolio that fell from ₹10 lakh to ₹7 lakh had a 30% drawdown, and it needs about a 43% gain from the trough to reclaim the peak. Maximum drawdown is the worst such fall over a period, and it matters more than average return for whether you can actually stay invested through it.
- the larger percentage rise needed to recover a loss is an example of
- The asymmetry of returns, or the mathematics of loss recovery. Because a percentage gain is measured on the reduced capital left after a fall, the rise needed to get back to the starting value is always bigger than the fall — 25% to recover a 20% loss, 100% to recover 50%. It is the arithmetic that underlies every rule about protecting capital and sizing positions so a single loss stays survivable.