Question

The value of a man's property is greater than the multiplication of cube and square of properties of A and B respectively.
What is the minimum value of his property, if the value of properties A and B are Rs 20 and Rs 400 respectively?
The actual value of his property was Rs 2,00,00,00,000 but due to recession, the value of the property decreased by $30\%$.
Find the present value of the property. [4 MARKS]

Answer 1

Steps: 2 Marks
Minimum Value: 1 Mark
Present Value: 1 Mark

Given that,

A's property = Rs 20

$\Rightarrow$ cube of A's property $={20}^3$

B's property = Rs 400

$\Rightarrow$ Square of B's property $={400}^2$

The minimum value of the man's property should be

$=Rs{20}^3\times {400}^2$

$=Rs128\times {10}^7$

$=Rs1.28\times {10}^9$

Given that
The actual value of the property is Rs2,00,00,00,000.
The value of the property depreciated by $30\%$.
The present value of the property$=2000000000-2000000000\times \frac{30}{100}$
$=2000000000-600000000$
$=1400000000$
Hence, the present value of the property is $Rs1400000000$