Question

If 4/5 of an estate is worth Rs 42000 find the worth of the whole also find the 3/7of it

Answer 1

Let whole estate be x
4/5of x=42000
X=42000×5/4
X=10500×5
x=52500
And 3/7 ×52500=3×7500
=22500

Answer 2

Answer: The total value of the estate on the whole of $\bold{\frac{3}{7}}$ is Rs.22500

Given:

An estate of certain worth say ‘a’  

Let the whole worth of estate be “a”

$\begin{aligned} & \frac{4}{5} \times a=42000 \\ a &=\frac{42000 \times 5}{4} \text { (Given amount } \times \frac{4}{5} \text { of the estate } ) \end{aligned}$

The obtained value of ‘a’ is solved below  

$\begin{array}{c}{a=10500 \times 5} \\ {a=52500}\end{array}$

Therefore, the total value of the estate = Rs.52500

Now let us consider the value for an estate of worth $\frac{3}{7}$on the whole

$\frac{3}{7} \times 52500=7500 \times 3=\mathrm{Rs} \cdot 22500$