Answer:

20%

Step-by-step explanation:

Original SP=13,500

Loss%=10%
CP = (100/100-loss% )* SP

(100/90)*13500

15000

New SP= 18000

Profit =18000-15000

3000

Gain%= (Profit/CP) *100

3000/15000 *100

1/5 *100

20%

Given :

• Selling price = ₹ 13,500

• Loss = 10%

To Find :

• Gain % if he had sold it for ₹18,000

Solution Explanation :

[tex]SP = Cp - loss \\ \\ = 100 - 10\% \\ \\ = 90\%[/tex]

[tex]SP = \: 13,500[/tex]

[tex]90 \: \% = Rs\: 13,500 \\ \\ 10\% = \frac{13,500}{90} \\ \\ =Rs. \: 150[/tex]

[tex]100\% \: = 150 \times 100 \\ \\ = Rs.\: 15,000[/tex]

[tex]Gain = SP - CP \\ \\ = 18,000 - 15,000 \\ \\ =Rs. \: 3,000[/tex]

[tex]Gain = \frac{Gain}{CP} \times 100 \\ \\ = \frac{3,000}{18,000} \times 100 \\ \\ = 16.67 \: \%[/tex]