Find a simple discount equivalent to a discount series of

First method to solve this question :
According to given question.
Here, D₁ = 10%, D₂ = 20%, D₃ = 25%
Single equivalent discount

= 100 −

100 − D₁

100 − D₂

100 − D₃

× 100

100

= 100 −

100 − 10

100 − 20

100 − 25

× 100

100

= 100 −	90	×	80	×	75	× 100
	100		100		100

= 100 – 54 = 46%
2nd Method to solve this question :
According to given question.
Single equivalent discount for discounts of 10% and 20%

=		20 + 10 −	20 × 10		%
			100

= (30 – 2)% = 28%
Single equivalent discounts for discounts of 28% and 25%

=		28 + 25 −	28 × 25		%
			100

= (53 –7)% = 46%