Here, base year is 2014.

∴ p_{0} = Price in 2014,

q_{0} = Quantity in 2014,

P_{1} = Price in 2015,

q_{1} = Quantity in 2015.

The units of price and quantity for the items A, B, C and D are not equal. So we compute after making the units of price and quantity.

Explanation :

**Item A:** The unit of price is 20 kg and the unit of quantity is kg.

∴ In 2014, the price per kg = **\(\frac{80}{20}\)** = ₹ 4

In 2015, the price per kg = **\(\frac{120}{20}\)** = ₹ 6

**Item B: **The unit of price is kg and the unit of quantity is gram.

∴ In 2014, the quantity in kg = **\(\frac{2400}{1000}\)** = 2.4 kg

In 2015, the quantity in kg = \(\frac{4000}{1000}\) = 4 kg

[Note: 1000 gram = 1 kg]

**Item C**: The unit of price is quintal and the unit of quantity is kg.

∴ In 2014. the price per kg = \(\frac{2000}{100}\) = ₹ 20

In 2015, the price per kg =\(\frac{2800}{100}\) = ₹ 28

[Note : 1 Quintal = 100 kg]

**Item D:** The unit of price is dozen and the unit of quantity is a piece.

∴ In 2014, the price per piece = **\(\frac{48}{12}\)**= ₹ 4

In 2015, the price per piece = \(\frac{72}{12}\)= ₹ 6

[Note : 1 Dozen =12 pieces]]

To compute Laspeyre’s, Paasche’s and Fisher’s index numbers, the table of calculations is prepared as follows :

**Laspeyre’s index number:**

**Paasche’s index number:**

**Fisher’s index number:**

**\(I_p=\sqrt{I_L\times I_P}\)**

**\(=\sqrt{141.13\, \times\,140.15}\)**

**\(=\sqrt{19779.3695}\)**

= 140.64