Question Details

A factory manufactures solid wooden storage blocks, each featuring a rectangular base measuring 10 cm × 8 cm and a vertical height of 15 cm. If each unit volume (cm3) of the block is sold for ₹0.75 and costs ₹0.45 to produce, calculate the total net profit made from selling 12 such blocks.

Options

A

₹10800

B

₹3600

C

₹4320

D

₹6480

Show Answer

Correct Answer :

Option C

₹4320

₹5760

Solution :

The correct option is ₹4320.

Step 1: Find the volume of a single storage block
Each wooden block is a rectangular solid (cuboid) with base dimensions 10 cm × 8 cm and height 15 cm.
The volume of one block is calculated using the formula:

Volume of 1 block = Length × Width × Height

Volume of 1 block = 10 cm × 8 cm × 15 cm = 1200 cm3

Step 2: Calculate the net profit per unit volume (cm3)
The selling price per unit volume is ₹0.75 and the cost price per unit volume is ₹0.45.
The net profit made on each cm3 of wood is:

Profit per cm 3 = Selling Price per cm 3 - Cost Price per cm 3

Profit per cm 3 = 0.75 - 0.45 = 0.30

Step 3: Calculate the net profit for one block
Multiplying the volume of a single block by the net profit per cm3 gives:

Profit for 1 block = 1200 cm3 × 0.30 = 360

Step 4: Calculate the total net profit for 12 blocks
To find the profit for selling 12 such blocks:

Total net profit = 12 × Profit for 1 block

Total net profit = 12 × 360 = 4320

Hence, the total net profit made from selling 12 such storage blocks is ₹4320.

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