35% of goods were sold at a profit of 65%, while the remaining were sold at x% loss. if the overall loss 12% then what it the value of x?
Answers
Answer:
x=7.3%
Step-by-step explanation:
Let total number of goods be P.
Let the cost price of each article be Y
35% of goods are sold at 65% profit. herefore total money raised=0.35P×1.65Y
Total cost price of all goods=PY.
Remaining goods are sold at x%loss.
Therefore total money raised=0.65P×((100-x) /100) Y
Total selling price of all the goods=(0.65P×((100-x) /100) Y) +(0.35P×1.65Y)
Now as per question,
PY-(0.65P×((100-x) /100) Y) +(0.35P×1.65Y)=0.88PY.
1-(0.65×(100-x) /100) +0.5775=0.88
(0.65×(100-x) /100)=0.6975
0.65(100-x) =69.75
(100-x) =69.75/0.65
100-x=107.3
x=-7.3
Therefore x=7.3%
Answer:
let the price of goods =100rs/kg
quantity of goods =100kg
total expenses= 100*100=10000
35% of goods=100*35/100=35
65%of goods= 100*65/100=65
35*100=3500
65*100=6500
3500*165/100+6500*(100-x)/100=10000*88/100
solving get x= 53.46=53.5