A dishonest dealer professes to sell grains at cost price, but he uses a weight of 925g for 1kg weight. Find his gain percentage. (Approximate to two decimals.)

Let the cost price (CP) of 1g of grain be ₹1.
The cost price of 1kg (1000g) of grains is ₹1000.

The dealer gives only 925g instead of 1000g.
Therefore, the Cost Price of the grain actually given is:

CP=₹925
The Selling Price (SP) charged is for 1000g, which is equal to its cost price:

SP=₹1000
Profit made by the dealer:

Profit=SP−CP=1000−925=75
Gain percentage formula:

Gain Percentage=(
CP
Profit
​
)×100
Gain Percentage=(
925
75
​
)×100=
37
3
​
×100=
37
300
​
%≈8.11%
Expressed as a decimal multiplier or a direct match to the options given in the fractional/decimal form representation (8.11%=0.0811):

Gain=
925
75
​
≈0.0811