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Solved Example

Cost Price: The price, at which an article is purchased, is called its cost price, abbreviated as C.P.
 
Selling Price: The price, at which an article is sold, is called its selling prices, abbreviated as S.P.
 
Profit or Gain: If S.P. is greater than C.P., the seller is said to have a profit or gain.
 
Loss: If S.P. is less than C.P., the seller is said to have incurred a loss.

Important Formulae

  1. Gain = (S.P.) - (C.P.)
  2. Loss = (C.P.) - (S.P.)
  3. Loss or gain is always reckoned on C.P.
  4. Gain Percentage: (Gain %)
  5. Loss Percentage: (Loss %) 
  6. Selling Price: (S.P.) 
  7. Selling Price: (S.P.) 
  8. Cost Price: (C.P.)  
  9. Cost Price: (C.P.) 
 
If an article is sold at a gain of say 35%, then S.P. = 135% of S.P.
 
If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
 
Same Gain-Loss %: When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by:
 

 
False Weight: If a trader professes to sell his goods at cost price, but uses false weights, then
 
  • If two succesive discount on an article are a%, b% respectively then net discount will be = 
  • If three succesive discount on an article are a%, b% and c% respectively then net discount will be = 
  • If an article is sold at a profit of a% had he sold for Rs a more, b% would be gain then
  • If an article is sold in x Rs. At a% profit/loss. from that amount he again buy a things and then sell it at profit/loss of b% then Selling price is




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