Question

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Q no.18

Answer 1

Let the CP of saree and that of sweater be x and y respectively.

Case 1.

Given that saree is sold at 8% profit

=> SP of saree = x + 8x/100 = 108x/100

Also, sweater is sold at 10% discount

=> SP of sweater = y - 10y/100 = 9y/10

Given that saree and sweater fetch Rs 1008,

108x/100 + 9y/10 = 1008

=> 108x+90y/100 = 1008

=> 108x + 90y = 100800 => 6x + 5y = 5600 => x = 5600-5y/6 (i)  

Case 2.

Given that saree is sold at 10% profit

SP of saree = x + 10x/00 = 11x/10

Also, sweater is sold at 8% discount

=> SP of sweater = y - 8y/100 = 92y/100 =

Given that saree and sweater fetch Rs 1028,

11x/10 + 92y/100 = 1028

=> 110x+92y/100 = 1028

=> 110x+92y = 102800

Putting value of (i)

110 (5600-5y/6) + 92y = 102800

=> 616000-550y/6 + 92y = 102800

=> 616000-550y-552y/6 = 102800

=> 616000+2y/6 = 102800

=> 616000+2y = 616800

=> 2y = 800

=> y = Rs400

From (i),

x = 5600 - 5*400/6

x = 5600-1200/6

x = 4200/6

=> x = Rs700

Therefore, SP of saree = Rs700

List price of sweater = Rs 400

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