a dealer is selling an article at a discounts of 5%on the market price is 12% above the cost price in the article was sols for rupee 532 then the cost price (in Rs)
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let the c.p. of the article = rs (100 a)
so market price of the article = 12% of c.p. + c.p. = 12% of 100a + 100a = 12a + 100a = rs (112a)
but again there was discount of 5% on the market price, so s.p. = market price of the article - 5% of market price of the article = 112a - 5% of 112a = 112a - 5.6a = rs (106.4 a)
but we know that the s.p. of the article = rs 532
so 106.4 a = 532
a = 532/106.4
a= 532 *10/1064
a= 5
so the cost price = 100 a = 100 *5 = rs 500
here s.p. represents selling price
and c.p. represents cost price
hope this might help
so market price of the article = 12% of c.p. + c.p. = 12% of 100a + 100a = 12a + 100a = rs (112a)
but again there was discount of 5% on the market price, so s.p. = market price of the article - 5% of market price of the article = 112a - 5% of 112a = 112a - 5.6a = rs (106.4 a)
but we know that the s.p. of the article = rs 532
so 106.4 a = 532
a = 532/106.4
a= 532 *10/1064
a= 5
so the cost price = 100 a = 100 *5 = rs 500
here s.p. represents selling price
and c.p. represents cost price
hope this might help
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