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QUESTION NO 23
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Answers
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Answer:
600,400
Step-by-step explanation:
Let the cost price be Saree be x and cost price of Sweater be y.
(i)
Saree is sold at profit of 8%.
So, Selling price of saree = x + (8x/100) = 108x/100
Sweater is sold at discount of 10%.
So, Selling price of sweater = y - (10y/100) = 9y/10
Given that both are sold for 1008 rs.
⇒ (108x/100) + (9y/10) = 1008
⇒ 108x + 90y = 100800
⇒ 6x + 5y = 5600
⇒ x = (5600 - 5y)/6
(ii)
Saree is sold at 10% profit.
So, Selling price of saree = 11x/10
Sweater is sold at a discount of 8%.
So, Selling price of Sweater = y - (8y/100) = 92y/100
Given that, both are sold for 1028.
⇒ (11x/10) + (92y/100) = 1028
⇒ 110x + 92y = 102800
⇒ [110(5600 - 5y)/6] + 92y = 102800
⇒ 616000 + 2y = 616800
⇒ 2y = 800
⇒ y = 400
Substitute y = 400 in (i), we get
⇒ x = (5600 - 5y)/6
⇒ x = (5600 - 2000)/6
⇒ x = 600
Therefore:
Cost price of the saree = 600
List price of the sweater = 400
Hope it helps!