Test Index

UPSC CDS Math Ratio Proportion and Variation Questions

© examsnet.com

Question : 10 of 20

Marks: +1, -0

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)

₹ 13,500
₹ 18,000
₹ 19,750
₹ 20,250

Solution:

Assume that capital invested by D be ₹D. Then,

A’s capital = ₹3D, E’s capital

=\text{₹}\frac{30}{2}

B’s capital

=\text{₹}\frac{D}{2}

, C’s capital

=\text{₹}2D

Ratio of profit of

A:B:C:D:E=6:1:4:2:3

\therefore 6x+2x+3x-x-4x=13,500

\Rightarrow 6x=13500

\Rightarrow x=2250

∴ Combined share of B, C and

E=8 \times 2250=\text{₹}18000

© examsnet.com

Go to Question:

Prev Question

Next Question