{Rs.} 1360 have been divided among A, B, C such that A gets ≤ft(2/3) of what B gets and B gets ≤ft(1/4) of what C gets. Then B's share is:

Correct Answer is : ₹240{₹} 240₹240

Correct Answer is : ₹240{₹} 240₹240

Test Index

Ratio and Proportion

Question : 32 of 112

Marks: +1, -0

\text{Rs.} 1360

A, B, C

\left(\frac{2}{3}\right)

B

B

\left(\frac{1}{4}\right)

C

gets. Then B's share is:

Solution:

Concept:

Express all shares in terms of one variable and solve for the total.

Explanation:

Let C’s share be

x

B gets

\frac{1}{4}x

A gets

\frac{2}{3}

of B:

\frac{2}{3} \times \frac{1}{4}x = \frac{1}{6}x

Total is

A + B + C = \frac{1}{6}x + \frac{1}{4}x + x = 1360

Convert to common denominator 12:

\frac{2}{12}x + \frac{3}{12}x + \frac{12}{12}x = \frac{17}{12}x = 1360

Thus

x = 1360 \times \frac{12}{17} = 80 \times 12 = 960

B’s share is

\frac{1}{4} \times 960 = 240

So B’s share is ₹240.

Answer:

₹240

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