A seller makes a loss of 5% by selling a shirt for ₹1,000. He would have made x% profit by selling for ₹1,400. Find the value of x.

Selling price (SP₁) = ₹1000
Loss = 5%

So,

$SP = CP \times \frac{95}{100}$

$1000 = CP \times \frac{95}{100}$

$CP = \frac{1000 \times 100}{95}$

$CP = \frac{20000}{19} \approx 1052.63$

Now new selling price:

SP₂ = ₹1400

Profit = SP₂ − CP

$= 1400 - \frac{20000}{19}$

$= \frac{26600 - 20000}{19}$

$= \frac{6600}{19}$

Profit percentage:

$\text{Profit %} = \frac{\text{Profit}}{CP} \times 100$

$= \frac{\frac{6600}{19}}{\frac{20000}{19}} \times 100$

$= \frac{6600}{20000} \times 100$

Ans = 33%