A trader allows a trade discount of 20% and a cash discount

A trader allows a trade discount of 20% and a cash discount of 6 1 % on the
4

marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale ?

Let C.P. of article = ₹ 100
Marked price = y

Single equivalent discount for a% and b% =		a + b -	a × b		%
			100

Here , a = 20% , b = ( 25 /4 )%

Single equivalent discount =		20 +	25	−	20 × 25		% = 25%
			4		400

On 25% discount ,

∴ y ×	75	= 120
	100

⇒ y =	120 × 100	= ₹ 160
	75

Marked price = ₹ 160
⇒ 160 – 100 = 60

Required percent =	60	× 100 = 60%
	100

A trader allows a trade discount of 20% and a cash discount of 6	1	% on the
	4