Question

divide rs. 536 between A ,B and C in the ratio 1/5 :2/3 :1/4 respectively.

Answer 1

Hey mate!

Here's ur answer dear:)
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$\frac{1}{5} : \frac{2}{3} : \frac{1}{4} \\ \\ \frac{12 + 40 + 15}{60} \\ \\ \frac{67}{60}$
so by adding all the ratios it comes to 67/60

✒ 1/5 of 67/60 of 536

67/60 = 1.1166666667

1/5 = 0.20

0.20/1.1166666667 * 536

= 96

Now

✒2/3 / 67/60 of 536

2/3 = 0.666666667

0.66666667 / 1.116666667 * 536

= 320

Now

✒ 1/4 = 0.25

0.25 / 1.11666666667 * 536

= 120

So , add 120 + 320 + 96 = 536

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Answer 2

$\text {A : B : C} = \dfrac{1}{5} : \dfrac{2}{3} : \dfrac{1}{4}$

Make the denominators the same:

$\text {A : B : C} = \dfrac{1 \times 12}{5 \times 12} : \dfrac{2 \times 20}{3 \times 20} : \dfrac{1 \times 15 }{4 \times 15}$

$\text {A : B : C} = \dfrac{12}{60} : \dfrac{40}{60} : \dfrac{15 }{60}$

Multiply by 60 through:

$\text {A : B : C} = 12: 40 : 15$

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Let x be the constant ratio:

12x + 40x + 15x = 67x

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Find 1 x:

67x = 536

Divide both sides by 67:

x = 8

.

Find each of their amount:

A = 12x = 12(8) = Rs 96

B = 40x = 40(8) = Rs 320

c = 15x = 15(8) = Rs 120

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So the Rs 536 is divided as:

A : B : C = Rs 96 : Rs 320 : Rs 120

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Answer: A = Rs 96 , B = Rs 320 , C = Rs 120