A shopkeeper sells a saree at 8% profit ans a sweater at 10% discount, thereby getting
sum of 1008 rs. If she had sold the saree at 10% profit and sweater at 8% discount, sh
would have got 1028 rs. Find the cost price of the saree and the list price(Price before
discount) of the sweater.
Answers
CORRECT ANSWER IS 600
Step-by-step explanation:
Let Cost Price of saree= Rs x
Let Cost Price of sweater= Rs y
According to the 1 st condition of question
Selling Price of saree is= Rs. x+ 8x/100
= 108x
/100 ........(1)
Selling Price of sweater is =Rs. y - 10y/100
= 90y/100 ........(2)
Adding (1) and (2), we get
=> 108x
/100+90y/100
=> 1008 .........(3)
According to the 2 nd condition of question.
Selling Price of saree is Rs. x+10x/ 100
= 110x/100
Selling Price of Sweater is Rs. y− 8y/100
=92x/100
=110x/100+92y/100
= 1028 ..............(4)
Solve (3) and (4)
108x+90y=100800 .......(5)
⇒110x+92y=102800 .......(6)
Subtract (6) − (5), we have
2x+2y=2000
⇒x+y=1000 (7)
Substitute (7) in (5), we get
108x+90(1000−x)=100800
⇒108x−90x=100800−90000
⇒18x=10800
⇒x=600
THANKS FOR ASKING