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The Daily Insight Hub

How do you solve a profit and loss problem in math?

Author

Daniel Santos

Updated on January 03, 2026

Formula: Loss = Cost price (C.P.) – Selling Price (S.P.) Profit or Loss is always calculated on the cost price….Below is the list of some basic formulas used in solving questions on profit and loss:

  1. Gain % = (Gain / CP) * 100.
  2. Loss % = (Loss / CP) * 100.
  3. SP = [(100 + Gain%) / 100] * CP.
  4. SP = [(100 – Loss %) / 100]*CP.

How do you calculate profit and loss example?

Formula for Profit and Loss Percentage

  1. Profit percentage(P%) = (Profit /Cost Price) × 100.
  2. Loss percentage(L%) = (Loss / Cost price) × 100.
  3. S.P. = {(100 + P%)/100} × CP(if SP > CP)
  4. S.P. = {(100 – L%)/100} × CP(if SP < CP)
  5. C.P. = {100/(100 + P%)} × SP(if SP > CP)
  6. C.P. = {100/(100 – L%)} × SP(if SP < CP)

What is the formula of profit and loss percentage?

Profit % = 100 × Profit/Cost Price. Percentage Loss: The loss percent can be calculated as; Loss % = 100 × Loss/Cost Price.

What is the formula of CP and SP?

CP = ( SP * 100 ) / ( 100 + percentage profit).

How do you solve profit and loss questions easily?

Now let us learn some tricks or formulas to solve maths problems based on gain and loss, starting from the general formulas.

  1. Profit, P = SP – CP; SP>CP.
  2. Loss, L = CP – SP; CP>SP.
  3. P% = (P/CP) x 100.
  4. L% = (L/CP) x 100.
  5. SP = {(100 + P%)/100} x CP.
  6. SP = {(100 – L%)/100} x CP.
  7. CP = {100/(100 + P%)} x SP.
  8. CP = {100/(100 – L%)} x SP.

How do I calculate percentage profit?

Profit percent is calculated on Cost Price or Selling Price. a) If calculated on cost; profit percentage is (Profit / Cost Price) x 100. Continuing with same example profit percentage is (20/80) x 100 = 25% on cost price.

What is the formula of SI?

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100.

How is P&L account calculated?

add up all your income for the month. add up all your expenses for the month. calculate the difference by subtracting total expenses away from total income. and the result is your profit or loss.

How do you calculate profit increase?

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.

Is 100 profit doubling your money?

Margins can never be more than 100 percent, but markups can be 200 percent, 500 percent, or 10,000 percent, depending on the price and the total cost of the offer. The higher your price and the lower your cost, the higher your markup. Businesses often use Profit Margin as a way of comparing offers.