A shopkeeper sells goods at a profit of 12% and uses a weight which is 15% less than the original weight. Find his total percentage gain. (Correct to 2 decimal places)

Correct option is A

Given:
A man sells rice at 12% profit.
Formula Used:
Profit% = $$\left(\frac{\text{Profit}}{\text{CP}}\right) \times 100$$​​
Solution:
Let the Cost price of rice = 100
Selling Price = 112
False dealing in weight with 15% less than the actual weight
So, the actual CP = 100 – 15 = 85
Man’s actual profit = 112 – 85 = Rs. 27
Actual Profit percent = $$\frac{27}{85} × 100$$​​
∴ Actual Profit percent = 31.76%

Alternate Solution:

$$\text{CP: SP} = 100 : 112 \\ 15\% \text{ less } = 100 - 15 = 85\% \\ \text{Gain \%} = \frac{112 - 85}{85} \times 100 = 31.76\%$$​