The marked price of a T.V. is ₹ 16,000. After two successive

The marked price of a T.V. is ₹ 16,000. After two successive discounts it is sold for ₹ 11,400. If the first discount is 5%, then the rate of second discount is

After a discount of 5%

SP =	95 × 16000	= ₹ 15200
	100

Let the second discount be x%
&there; D₂ % of 15200 = (15200 – 11400)

⇒	x × 15200	= 3800
	100

⇒ x =	3800 × 100	= 25
	15200

∴ Second discount = 25%
Alternate method to solve this question :
Here, M.P. = 16000,
S.P. = 11400, D₁ = 5%, D₂ = ?

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

11400 = 16000		100 − 5			100 − D₂
		100			100

11400	= 100 − D₂
16 × 95

75 = 100 − D₂
D₂ = 25%