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UPSC CDS 1 2022 Math Solved Paper
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© examsnet.com
Question : 1
Total: 100
A shopkeeper marks the price of an article at ₹ 200 . After allowing a discount of
10
%
, he still gains
20
%
on the cost price. What is the cost price of the article?
₹ 170
₹ 160
₹ 150
₹ 120
Validate
Solution:
👈: Video Solution
Given:
Marked Price of article
=
Rs. 200
Discount
=
10
%
on Marked Price
Gain
=
20
%
on Cost Price
Concept Used:
S.P
=
M.P
[
100
−
D
%
]
%
S.P
=
C.P
[
100
+
P
%
]
%
Where, S.P = Selling Price
M.P
=
Marked Price, C.P
=
Cost Price
D
%
=
Discount Percent,
P
%
=
Profit Percent
Calculation:
Let the cost price of article be Rs.
x
S.P
=
M.P
[
100
−
D
%
]
%
⇒
S
.
P
=
200
×
[
100
−
10
]
%
⇒
S
.
P
=
200
×
90
∕
100
=
Rs.
180
−
−
(
i
)
Now, S.P
=
C.P
[
100
+
P
%
]
%
⇒
S
.
P
=
x
×
[
100
+
20
]
%
⇒
S
.
P
=
x
×
(
120
∕
100
)
⇒
S
.
P
=
6
x
∕
5
⋯
(ii)
Now, From (i) and (ii), we get
6
x
∕
5
=
180
⇒
x
=
150
∴
The cost price of article is Rs. 150 .
© examsnet.com
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