Question

find a single discount equivalent to successive discounts of i)10%,15% ii)10%,20%,25%​

Answer 1

I) 23.50%

Simple compact relation :

A + B + AB/100

Since these are discounts, both Ac& B are negative.

-10 + (-15) + (-10 x -15)/100

= -25 + 1.50 = -23.50%

ii) 46%

Single of discount for successive discounts 10% and 20%

$latex = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%&s=1$

∴ Equivalent discount for discounts 28% and 25%

$latex = \left ( 28+25-\frac{28\times 25}{100} \right )\% = 53-7 = 46\%&s=1$