The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of Rs. 500.What is the new profit percentage if instead of two successive discount the markup price was further increased successively two times by the same percentage?

259.2%
59.2%
159.2%
can't be determined

Correct Answer: 159.2%

Explanation:

Cost price (CP) = 500
Selling Price (SP) = 576
Markup price (MP) = 900
Again SP = MP [( 1 - r/100)²] [r - rate of discount in %]
? 576 = 900 (1 - r/100)²
? 24/30 = (1 - r/100)
? r = 20%
Again, new SP = MP (1 + r/100)²
= 900 (1 + 20/100)²
= 1296
New, profit percentage = [(SP - CP)/CP] X 100
= [( 1296 - 500 ) / 500 ] x 100 = 159.2%

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The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of Rs. 500.What is the new profit percentage if instead of two successive discount the markup price was further increased successively two times by the same percentage?

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