Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get? - Mathematics

Numerical

Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get?

Solution

Let x, y and z be the amounts received by the first, second and the third person, respectively.
We have:
x = 50 % of y
$= \frac{50}{100}y = \frac{1}{2}y$
$\therefore y = 2x$
Again, y = 50 % of z
$= \frac{1}{2}z$
$\therefore z = 2y$
$= 2\left( 2x \right)$
$= 4x$
Also, x + y + z = 3500
Substituting the values of z and y, we get:
$x + 2x + 4x = 3500$
$\Rightarrow 7x = 3500$
$\Rightarrow x = 500$
$\therefore y = 2x = 2\left( 500 \right)$
$= 1000$
$\therefore z = 4x = 4\left( 500 \right)$
$= 2000$
Thus, the amounts received by the first, second and the third person are Rs 500, Rs 1000 and Rs 2000, respectively.

Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 8 Maths
Chapter 12 Percentage
Exercise 12.2 | Q 26 | Page 10