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UPSC CDS Math Ratio Proportion and Variation Questions
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© examsnet.com
Question : 10
Total: 20
A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A’s contribution, B contributes one-third of E’s contribution and C contributes two-third of A’s contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is ₹ 13,500, what is the combined share of B, C and E ? (The shares are supposed to be proportional to the contributions)
[2018 CDS-I]
₹ 13,500
₹ 18,000
₹ 19,750
₹ 20,250
Validate
Solution:
Assume that capital invested by D be ₹D. Then,
A’s capital = ₹3D, E’s capital
=
₹
30
2
B’s capital
=
₹
D
2
, C’s capital
=
₹
2
D
Ratio of profit of
A
:
B
:
C
:
D
:
E
=
6
:
1
:
4
:
2
:
3
∴
6
x
+
2
x
+
3
x
−
x
−
4
x
=
13
,
500
⇒
6
x
=
13500
⇒
x
=
2250
∴ Combined share of B, C and
E
=
8
×
2250
=
₹
18000
© examsnet.com
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