A shopkeeper made a loss of Rs20 when he sold a bag at 20% discount. if he had sold it at 10% discount, he would have gained 8%. find the market price of the bag.
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Answered by
1
Answer:
R
s
.
600
Explanation:
Let
M
,
S
&
C
be the mark price, selling price & cost price respectively.
1) when shopkeeper sells at
20
%
discount then he suffers a loss of
R
s
.
20
then we have
S
=
(
1
−
20
100
)
M
=
0.8
M
&
C
−
S
=
20
⇒
C
=
20
+
0.8
M
...
...
...
...
.
.
(
1
)
2) when shopkeeper sells at
10
%
discount then he makes a profit of
8
%
then we have
S
=
(
1
−
10
100
)
M
=
0.9
M
&
S
=
(
1
+
8
100
)
C
⇒
C
=
0.9
M
1.08
...
...
.
(
2
)
Since, the cost price of bag doesn't change hence equating (1) & (2), we get
20
+
0.8
M
=
0.9
M
1.08
21.6
+
0.864
M
=
0.9
M
0.036
M
=
21.6
M
=
600
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