Mukesh sells almonds at the cost price but uses a false weight and thus gains a 23% profit. How many grams of almonds is he giving for 3.075kg?
- A2500
- B2700
- C2400
- D2600
Solution & Step-by-step Explanation
Let the actual weight given by Mukesh for 3.075kg (3075g) be xgrams.
Since he claims to sell at cost price, his profit arises solely from giving less weight.
Profit %=(
False Weight
True Weight−False Weight
)×100
Given profit =23%, True Weight =3075g, and False Weight =x:
23=(
x
3075−x
)×100
100
23x
=3075−x
0.23x+x=3075
1.23x=3075
x=
1.23
3075
=2500g
Thus, he gives 2500grams of almonds.
Since he claims to sell at cost price, his profit arises solely from giving less weight.
Profit %=(
False Weight
True Weight−False Weight
)×100
Given profit =23%, True Weight =3075g, and False Weight =x:
23=(
x
3075−x
)×100
100
23x
=3075−x
0.23x+x=3075
1.23x=3075
x=
1.23
3075
=2500g
Thus, he gives 2500grams of almonds.