A trader uses a 110 cm scale while buying cloth and uses 90 cm scale while selling the cloth. He further provides 10% discount to cost price. What is his overall profit percentage?

• let price of each cm is rs 1.
  price of 100cm =rs100.(that is cost price)
  
  but trsder get 110cm in rs 100
  hence price of 90cm =rs(90*100)/(110)= (900/11) (actual price he pay for 90cm)
  and he sold 90 cm in rs 100 and give 10 % dis =rs 90( amount he get for 90cm)
  now we have cost price =900/11 and selling price =rs90
  profit=10%
  
• 10 years agoHelpfull: Yes(37) No(1)
• if cp=100 =>(asume)
  then 10% discount on cp=90
  he sells 90cm for 90 rs
  then remain 20cm..?
  (90/90)*20=20
  90+20=110 (total selling price)
  so profit=(110-100)
  =10%
• 10 years agoHelpfull: Yes(7) No(4)
• assume 1 scale = 1rs
  lets assume cp =100
  seller give 10% dis, so 10% of 100 is 10 so he give him 90 rs;
  so 90 cm scale is 90 rs;
  and trader uses is 110 scale so he get earn 110 rs ;
  so profit is 110-100 =10
  10%
  
• 10 years agoHelpfull: Yes(5) No(0)
• (100+gain%)/(100-dicount%)=true_value/faulty_value
  --> (100+g)/(100-10)=110/90
  -->100+g=110
  -->g=10
  or, gain=10%
• 9 years agoHelpfull: Yes(5) No(0)
• let CP of 1cm= x and he purchases 90 cm cloth
  =>total CP= 90x
  10% discount on CP = 9x (10% of 90x)
  SP of 90cm cloth = 90x-9x= 81x
  SP of 110 cm cloth = (81*110)/90x =99x
  profit % = [(SP-CP)*100]/CP
  = [(99x-90x)*100]/90x
  =10 ans
• 10 years agoHelpfull: Yes(3) No(0)
• consider 110 cm cloth...selling at 10% discount .110-110*10/100=99.but actually he sold 90 mts only .and cost price of 110 mts ==110 so cost price of 90==90.thus profit ==99-90==9rupee.so in %======9*100/9o==10%ans
• 10 years agoHelpfull: Yes(2) No(0)
• cost per cm cloth = x
  cost price of 110cm cloth = 110x
  SP of 90cm cloth = 90x
  10% discount = 11x
  
  profit % = (110x - (90x + 11x)) / 110x * 100
  = 8.1818%
• 10 years agoHelpfull: Yes(2) No(3)
• just remember dis formula for false scale
  100+overall gain/100-discount=true scale/false scale
  for this problem its simply
  100+x/100-10=110/90
  ans=10% gain
• 9 years agoHelpfull: Yes(2) No(0)
• the profit earn by using faulty scale is 110-90=20
  
  so he get 20% profit but he further discount 10% on cost price
  
  so use formula X+Y+(XY)/100 use + for profit and - for discount
  
  20-10-2 is 8% profit
• 10 years agoHelpfull: Yes(1) No(0)
• profit earn on faulty scale is (110-90)=20
  percentage of profit earned is =(20/90)*100=200/9%
  discount = 10%
  formula for getting the overall percentage is x+y+xy/100 =200/9 -10-(200/9)(10)/100=10%
  
  so profit=10%
• 9 years agoHelpfull: Yes(1) No(0)
• 11
  because , he gets 20 cm xtra and 10% of 90 is 9cm . and 20 - 9 = 11 , so profit is 11%
• 10 years agoHelpfull: Yes(0) No(4)
• why did u do 10% of 90... its said 10% discount on CP
• 10 years agoHelpfull: Yes(0) No(0)
• 35.8% ans
  
• 10 years agoHelpfull: Yes(0) No(2)
• to buy 110cm we need rs100
  to buy 90cm we need 900/11=81.81
  sp of 90cm is rs90
  profit is rs8.181
  profit%= (profit/cp)*100=10%
• 10 years agoHelpfull: Yes(0) No(2)
• hi pls explain clearly i am confused
• 10 years agoHelpfull: Yes(0) No(0)
• let he buy the cloth for rs100.
  i.e. buy 110cm for 100rs i.e. 1cm=10/11rs
  sells 90cm for 100 rs i.e. 1cm=10/9 rs
  nd 10% discount=10*(10/11)/100=10/110;
  so,total profit=10/9-10/11-10/110=.11;
  profit %=.11/(10/11)*100=12.1%l
• 9 years agoHelpfull: Yes(0) No(1)
• let c.p of 1cm=1rs then c.p of 100cm=100rs
  c.p of 110cm=100rs
  c.p 0f 90cm
  c.p=100*s.p/(100+gain%)=100*90/110=81.81
  profit=90-81.81=8.19
  profit%=8.19*100/81.81=10.01
  
  10%
• 9 years agoHelpfull: Yes(0) No(0)
• let cp of per cm=x
  total profit= 20x-9x
  =11x
  % profit=11
  
• 9 years agoHelpfull: Yes(0) No(1)
• let x be the cost of 110 cm cloth...
  as cost is directly proportional to the length of the cloth...
  90cm costs.....9x/11
  but he sold it to x and gives 10% discount...so the s.p is9x/10
  profit is 9x/10 - 9x/11 = 9x/100.
  9% profit....
• 9 years agoHelpfull: Yes(0) No(1)
• Ans is ~10%.
  So think of it as , the formula for the profit % in such cases(When price can be equated for 110 cm cloth and 90 cm cloth) is (Goods Left / Goods Sold)*100. so here(20/90)*100 = 22.22% profit.
  
  Suppose the quantity to be 100 then profit of 22.22% will give 100 + (100 * .2222) = 122.22.
  Now discount of 10% on this will be 122.22 - (122.22 * 10) = 109.998.
  so from 100 to 109.998 there's a change of 9.998 % i.e ~10%.
• 3 years agoHelpfull: Yes(0) No(0)
• let 100 cm is =100 rs
  so a seller buy a 110 cm instead of 100 cm
  it means that
  110 cm=100 rs
  when he sell the cloth he use 90 cm instead of 100 cm and it also provide 10% discount so it means
  90 cm sell =90 rs
  so overall the equation is that
  110 cm=100rs*90=9000
  90 cm=90rs*110=9900
  ans=faulty/actual price
  faulty =99-90
  ans=(9/90)*100
  ans =10%
• 3 years agoHelpfull: Yes(0) No(0)