What percent above cost price should goods be marked for

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What percent above cost price should goods be marked for sale so that after allowing (25 / 2) % trade discount and 5% cash discount, a net gain of 33% may be earned?

If the C.P. is $ 100, the cash selling price = $ 133.
Now, let invoice price (after allowing T.D.) be 100, cash discount = 5 %
∴ When,

∴ y =	133 × 100	= ₹ 140
	95

Now, Trade discount = 12	1	%
	2

∴ Marked price 100 – 12	1	T.D.	= 87	1	(Invoice price)
	2			2

When,

Thus, marked price should be 60% = (160 – 100) above cost.