A dealer marks his goods 35% above the cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs.88.50?
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Marked price = MP = CP + 35% CP = 1.35 CP CP cost price
discount = 15% MP = 0.15 MP
price after discount = DP = MP - Discount
= (1 - 0.15) MP = 0.85 * 1.35 CP
DP is also sale price.
Gain on an article = DP - CP = 0.85 * 1.35 CP - CP = CP (1.1475 - 1 )
= 0.1475 CP = 88.50
=> CP = 88.50 / 0.1475 = Rs 600
discount = 15% MP = 0.15 MP
price after discount = DP = MP - Discount
= (1 - 0.15) MP = 0.85 * 1.35 CP
DP is also sale price.
Gain on an article = DP - CP = 0.85 * 1.35 CP - CP = CP (1.1475 - 1 )
= 0.1475 CP = 88.50
=> CP = 88.50 / 0.1475 = Rs 600
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