Question

Find a single discount equivalent to three successive discounts of 20%, 5% and 1%.​

Answer 1

Step-by-step explanation:

The three successive discount means first one discount then second and so on. Let us assume the first discount is 5%, second 10% and lastly 20%. ( In practice I see that discounts are offered on the printed price during sales in reverse order ie first 20%, next 10% and lastly 5%.)

Let us say the price is 100. After a discount of 5% the price becomes (100–5)= 95. On this 95 a discount of 10% the price becomes 95-9.50=85.50. Again on this price of 85.50 a discount of 20% the price becomes 85.50–17.10=68.40.

Thus the final price after the successive discounts is 68.40 on an initial price of 100. Therefore the net discount on a price of 100 is 100–68.40=31.60%.

If the successive discounts are offered the other way the prices will be first 100–20=80; next 80–8=72 and 72–14.40=57.60. The final net discount in this case will be 100–57.60=42.40%.