Answer:
<em>Option (a) =$28750 option (b) = $28750
</em>
<em>The value of the inventory is= $153750</em>
Explanation:
<em>From the given question we solve for the options (a) and (b) below.</em>
<em>Date 1 January 2008 </em>
<em>Inventory at the end of year prices = $160,000</em>
<em>Price Index = 100</em>
<em>Inventory at Base year prices =$160,000</em>
<em>Change from previous year = 0</em>
<em>December 31st 2008</em>
<em>Inventory at the end of year prices =$140,000</em>
<em>Price Index = 112</em>
<em>Inventory at Base year prices =$125000</em>
<em>Change from previous year = (35000)</em>
<em>31 December 2018 </em>
<em>Inventory at the end of year prices = $172500</em>
<em>Price Index = 115</em>
<em>Inventory at Base year prices= $150000</em>
<em>Change from previous year = 25000</em>
<em>Now we solve for,</em>
<em>(a) </em><em>Inventory at 31 December 2008</em>
<em>In the year 2008 there is LIFO liquidation (35000), so the inventory value under dollar value LIFO method;
</em>
<em>
$125000 x 1 = $125000</em>
<em>(b)</em><em>Inventory at 31 December 2009:</em>
<em>
$125000 x 1 = $125000
</em>
<em>
$25000 x 1.15 = $28750
</em>
<em>
Thus value of inventory ($125000 + $28750) = $153750</em>