Question

A shopkeeper sells 1 kg rice to two customers Rani and Vani. For Rani he charges exactly the cost price but under weighs the quantity by 10%. For Vani he sells at 20% more than cost price but over weighs the quantity by 10%. What is his overall profit/ loss percentage?
A.10% loss
B.10% profit
C.9.1% loss
D.9.1% profit

Answer 1

Answer:

Net profit = 10%

Step-by-step explanation:

let the price of 1 kg rice= 100x

For rani he gives 900 gm at Rs 100x

For vani he gives 1100 gm rice at Rs =100x+20x=120x

Total rice sold=900gm+1100gm=2000 gm=2kg

Buy price of 2kg rice=2*100x=Rs 200x

The amount received as Sale price=100x+120x=Rs 220x

Net profit=220x-200x=20x

profit%=100*20x/200x=2000x/200x=10%

Net profit = 10%

Answer 2

Answer:

Overall profit percentage is 10%.

Step-by-step explanation:

Let the price of 1 kg rice$= 100x$

For Rani he gives 900 gm at Rs 100x

For Vani he gives 1100 gm rice at Rs$= 100x + 20x = 120x$

Total rice sold $= 900 \: \: gm \: + 1100 \: \: gm = 2000 \: \: gm = 2 \: kg$

Buy price of 2kg rice $= 2 \times 100x = 200x$

The amount received as sale price $= 100x + 120x = 220x$

Total profit $= 220x - 200x = 20x$

Percentage of profit $= \frac{100 \times 20x}{200x} = \frac{2000x}{200x} = 10\%$

Therefore overall profit percentage is 10%.