An article is listed at ₹ 920. A customer pays ₹ 742.90

An article is listed at ₹ 920. A customer pays ₹ 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is

Total discount = ₹ (920 – 742.90) = ₹ 177.10
First discount = 15%
∴ Discount = 15% of 920

=	920 × 15	= ₹ 138
	100

Price after this discount = 920 – 138 = ₹ 782
Remaining discount = 177.10 – 138 = ₹ 39.10
Let the second discount be D₂ %.

∴	782 × D₂	= 39.10
	100

⇒ D₂ =	39.10 × 100	= 5%
	782

Alternate method to solve this question :
Here, M.P. = Rs. 920, S.P. = Rs. 742.90
D₁ = 15%, D₂ = ?

S.P. = M.P.		100 − D₁			100 − D₂
		100			100

742.90 = 920		100 − 15			100 − D₂
		100			100

7429000	= 100 − D₂
920 × 85

95 = 100 – D₂
⇒ D₂ = 5%