A shopkeeper weighs 10% more while purchasing and weighs 10% less while selling. His
gain% by this dishonesty is?
Answers
Answer:
A shopkeeper weighs 10% more while purchasing and weighs 10% less while selling. His
gain% by this dishonesty is?
Answer:
Solution 1
Let cost price of
1
gm of goods
=
Rs.
1
Suppose he purchases
100
gm of goods. Total cost price
=
Rs.
100
Due to the false weight (
10
%
more), he actually gets
110
gm of goods.
Suppose he sells this
110
gm of goods.
Due to the false weight(
10
%
less), he pretends as selling
x
gm of goods.
x
×
90
100
=
110
x
=
110
×
100
90
=
1100
9
gm
Therefore he manged to get total selling price of
Rs.
1100
9
Gain
=
Rs.
1100
9
−
Rs.
100
=
Rs.
200
9
Gain percent =
(
200
9
)
×
100
100
=
200
9
%
=
22
2
9
%
Solution 2
Let cost price of
1
gm of goods
=
Rs.
1
Suppose he purchases
100
gm of goods. Total cost price
=
Rs.
100
Due to the false weight (
10
%
more), he actually gets
110
gm of goods.
Suppose he sells
100
gm of goods. Total selling price
=
100
Due to the false weight (
10
%
less), he actually sells only
90
gm of goods.
His gain in this entire transaction is
(
110
−
90
)
=
20
gm
of goods.
Now think how much money he can make by selling this
20
gm
of goods.
Due to the false weight (
10
%
less), he can actually sell
x
gm where
x
×
90
100
=
20
⇒
x
=
2000
90
=
200
9
Therefore he gets
Rs.
200
9
which is his gain amount
Gain percent
=
(
200
9
)
×
100
100
=
200
9
%
=
22
2
9
%