OnlineCalculator360
Result
How the Calculation Works
When one percentage applies to another percentage, you multiply the two decimal equivalents. The result is a percentage that is always smaller than either of the two inputs (when both are below 100%). This is because you are taking a fraction of a fraction.
The most common confusion this calculator resolves: people assume sequential percentage adjustments add up. They do not. A 20% discount followed by a further 10% discount gives a combined discount of 28%, not 30%. The reason is that the second discount applies to the already-reduced price, not the original.
Formula and Worked Examples
Example: 30% of 50% = (30 × 50) ÷ 100 = 15%
Original price: ₹2,000. First discount: 20%. Additional discount: 15%.
After first discount: ₹2,000 × 0.80 = ₹1,600
After second discount: ₹1,600 × 0.85 = ₹1,360
Combined effective discount = ((2,000 − 1,360) ÷ 2,000) × 100 = 32% total (not 35%)
Example 2: Income tax cess
Income tax: ₹1,50,000. Health & Education Cess: 4% of tax amount.
Cess = 4% of 1,50,000 = ₹6,000. Total tax liability = ₹1,56,000.
(The cess is not 4% of income; it is 4% of the tax calculated on the income.)
Example 3: Sub-broker commission
Property sale: ₹75,00,000. Primary broker: 2%. Sub-broker's share: 35% of primary commission.
Primary commission = 2% of 75L = ₹1,50,000
Sub-broker = 35% of 1,50,000 = ₹52,500 (= 0.7% of sale price)
Stacked Discounts: Why They Are Not Additive
Retailers sometimes advertise "20% off, then an extra 10% off." Shoppers often assume this means 30% off. It does not. The second percentage always applies to the price after the first discount, giving a smaller combined saving than the sum suggests.
| Discount 1 | Discount 2 | Additive (wrong) | Actual combined discount |
|---|---|---|---|
| 10% | 10% | 20% | 19% (saves ₹1 less per ₹100) |
| 20% | 10% | 30% | 28% (saves ₹2 less per ₹100) |
| 25% | 20% | 45% | 40% (saves ₹5 less per ₹100) |
| 30% | 30% | 60% | 51% (saves ₹9 less per ₹100) |
| 50% | 50% | 100% | 75% (saves ₹25 less per ₹100) |
Other Nested Percentage Use Cases
| Situation | Outer % | Inner % | Net effect |
|---|---|---|---|
| Income tax cess | Tax on income | 4% cess on tax | Effectively 4% more tax on the tax amount |
| Performance bonus | 10% profit shared as bonus pool | Employee's 5% of pool | 0.5% of total company profit |
| Sub-broker commission | 2% of sale price to broker | 35% to sub-broker | 0.7% of sale price to sub-broker |
| GST on cess | 28% GST on product price | 15% cess on GST | 42% combined tax burden (28 + 28×0.15) |
| Mutual fund exit load | Fund NAV | 1% exit load on redemption | 1% of redeemed value, charged on a value that already includes gains |
Frequently Asked Questions
Convert both to decimals and multiply: 30% of 50% = 0.30 × 0.50 = 0.15 = 15%.
A stacked discount applies one discount, then another on the reduced price. 20% off then 10% off = 1 − (0.80 × 0.90) = 1 − 0.72 = 28% total. Not 30%.
No. On ₹1,000: 20% off = ₹800. Then 10% off ₹800 = ₹720. Total saving = ₹280 = 28%. A flat 30% off would give ₹700, saving ₹20 more.
In India, the 4% Health & Education Cess is levied on the income tax amount (not on income directly). If income tax = ₹1,00,000: cess = 4% × ₹1,00,000 = ₹4,000. Total liability = ₹1,04,000.
0.15 × 0.20 = 0.03 = 3%. If 20% of a fund is in a particular sector, and you want 15% of that allocation, you hold 3% of the total fund in that sub-allocation.
On a ₹75L sale with 2% broker commission = ₹1.5L pool. Sub-broker at 35% of pool = 0.35 × ₹1.5L = ₹52,500, which equals 0.7% of the sale price.
Additive: add the percentages (20% + 10% = 30%). Compound: multiply the retention fractions (0.80 × 0.90 = 0.72, so 28% off). Compound effects are always less than additive for discounts because each successive percentage applies to a smaller base.
If a bonus pool is 10% of company profit and an employee's share is 5% of the pool: on ₹2 crore profit, pool = ₹20L, employee bonus = 5% of ₹20L = ₹1L (= 0.5% of profit).