Question

Divide rs. 680 among p, q, and r such that p gets 2/3 of what q gets and q gets 1/4 of what r gets. Find the share of r.

Answer 1

Answer:

let r get x

q will get x/4

p will get x / 6

x + x/4 + x/6 = 680

680 *12 = 12x + 3x + 2x

680*12 = 17x

x = 680/17*12

x= 40*12

x = 480

r = ₹480

q = ₹120

p = ₹80

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Answer 2

Answer: The share of r is Rs. 480

Step-by-step explanation:

Let the share of r = x

According to question

q gets = $Rs.\dfrac{1}{4} x$

p gets = $\dfrac{2}{3}\times \dfrac{1}{4}x=Rs. \dfrac{x}{6}$

Total money is Rs. 680

Therefore

$680 = x+ \dfrac{x}{4} +\dfrac{x}{6}\\\\\Rightarrow 680 = \dfrac{12x+ 3x+2x}{12}\\\\\Rightarrow 680\times 12= 17x\\\\\Rightarrow x= Rs. 480$

Hence, the share of r is Rs. 480