Question

Rahim purchased a watch at 20% discount on its marked price, but sold it at the marked price. Find the gain percent of Rahim on this transaction

Answer 1

let the Market Price of the Watch (M.P.) be x
∴CP for Rahim=x-[(20/100)*x]
∴CP = (1 *x) /5
= 4x/5

∴SP for Rahim = MP = x

∴Difference (Profit) = SP-CP
= x - (4x/5)
= (5x - 4x)/5
= x/5

Profit % = (Profit/CP) * 100
∴ Profit % = (x/5)/(4x/5) * 100
[Solving]
Profit % = 25 %

Answer 2

Answer:

25%

Step-by-step explanation:

Let the marked price be x

Rahim purchased a watch at 20% discount on its marked price,

CP for Rahim = $x-20\%x=x-0.2x=0.8x$

SP for Rahim = x

Profit % = $\frac{SP-CP}{CP} \times 100$

Profit % = $\frac{x-0.8x}{0.8x} \times 100$

Profit % = $\frac{0.2}{0.8} \times 100$

Profit % = 25%

Hence Gain% is 25%