Find a simple discount equivalent to a discount series of 10%, 20% and 25%.

Let assume the initial amount be Rs 100

Now after 10% discount , Rs 100 reduces to = 100 -( $$\frac{10}{100}$$ x 100 )= Rs 90

Now for 2nd discount of 20% the initial amount is Rs 90 .So amount after 2nd discount = 90 - ($$\frac{20}{100}$$ x 90 ) = Rs 72

Now for 3rd discount of 25% the initial amount is Rs 72 .So amount after 3rd discount = 72 - $$\frac{25}{100}$$ x 72 = Rs 54

total percentage change = $$\frac{100 - 54}{100}$$ x 100 = 46 %

hence the value of discount equivalent to the given three discounts of 10%,20%,25% is 46%