Question

Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?

Answer 1

Let the common share be x.

Therefore, 1st share=4x

2nd share=3x

3rd share=2x

By the given condition,

4x+3x+2x=1170

9x=1170

x=1170/9

x=130

Therefore 3rd share=2x

=2×130=260

Answer 2

The value of third share is 540 rupees.

Step-by-step explanation:

Consider the provided information.

The sum of the 3 amount is 1170.

Let the first, second and third amounts are A, B and C respectively.

$A+B+C=1170$

4 times the first share, thrice the 2nd share and twice the third share amount to the same.

Let x is the amount which is same.

$4A= 3B = 2C = x$

The ratio of A, B and C are:

$A:B:C = \frac{1}{4}:\frac{1}{3}:\frac{1}{2} = 3:4:6$

Therefore, the value of 3rd share is:

$\frac{6}{3+4+6}\times 1170 = \frac{6}{13}\times1170=540$

Hence, the value of third share is 540 rupees.

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