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Rs. 415 are divided into three parts so that four times the first may be equal to five times the second and seven times the third. what is the first share of A?
- A175
- B180
- C160
- D170
Answer not set
Discussion 1
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CCommunity
Let x, y, z be the three parts so that 4x = 5y = 7z
$(\frac{x}{{1/4}} = \frac{y}{{1/5}} = \frac{z}{{1/7}})$
$(x\;:\;y\;:\;z = \frac{1}{4}\;:\;\frac{1}{5}\;:\;\frac{1}{7})$
x : y : z = 35 : 28 : 20
1st part $(= \frac{{35}}{{35\; + \;28\; + \;20}} \times 415)$
$(= \frac{{35}}{{83}} \times 415 = 175)$
[Note that three parts are always in the proportion of reciprocal of the number 4, 5 and 7]
$(\frac{x}{{1/4}} = \frac{y}{{1/5}} = \frac{z}{{1/7}})$
$(x\;:\;y\;:\;z = \frac{1}{4}\;:\;\frac{1}{5}\;:\;\frac{1}{7})$
x : y : z = 35 : 28 : 20
1st part $(= \frac{{35}}{{35\; + \;28\; + \;20}} \times 415)$
$(= \frac{{35}}{{83}} \times 415 = 175)$
[Note that three parts are always in the proportion of reciprocal of the number 4, 5 and 7]