Study the following information carefully and answer the questions given below:
Amy has decided to start a new company named ‘Amy Travels’. She wants to buy some furniture - table, chair, air-conditioners. She also wants to buy a few desktops, which will include monitor, CPU, keyboard and mouse, and the cost- of each table is 13.5 times the cost of a mouse and the cost of a chair is `3/5` of the cost of a table. The cost of an air-conditioner is 5 times the cost of a chair. The cost of a monitor is `20%` more than the cost of a chair. A CPU costs ₹1500 more than a table and the keyboard costs 4 times a mouse. The cost of a mouse is ₹1000.
It was initially decided that 4 air-conditioners will be installed but later only 3 air-conditioners and a fan were installed. If the cost of a fan is `1/10` of the cost of an air conditioner, what was the total cost incurred?

Options

A. ₹ 1,29,400
B. ₹ 1,24,500
C. ₹ 1,25,550
D. ₹ 1,24,350

Answer

To solve the problem step by step, we will calculate the costs of each item based on the information provided.

### Step 1: Calculate the cost of a mouse
The cost of a mouse is given as ₹1000.

### Step 2: Calculate the cost of a table
The cost of a table is 13.5 times the cost of a mouse.
\[ \text{Cost of Table} = 13.5 \times \text{Cost of Mouse} = 13.5 \times 1000 = ₹13500 \]

### Step 3: Calculate the cost of a chair
The cost of a chair is \( \frac{3}{5} \) of the cost of a table.
\[ \text{Cost of Chair} = \frac{3}{5} \times \text{Cost of Table} = \frac{3}{5} \times 13500 = ₹8100 \]

### Step 4: Calculate the cost of an air-conditioner
The cost of an air-conditioner is 5 times the cost of a chair.
\[ \text{Cost of Air-Conditioner} = 5 \times \text{Cost of Chair} = 5 \times 8100 = ₹40500 \]

### Step 5: Calculate the cost of a monitor
The cost of a monitor is 20% more than the cost of a chair.
\[ \text{Cost of Monitor} = \text{Cost of Chair} + 0.2 \times \text{Cost of Chair} = 8100 + 0.2 \times 8100 = 8100 + 1620 = ₹9720 \]

### Step 6: Calculate the cost of a CPU
The cost of a CPU is ₹1500 more than the cost of a table.
\[ \text{Cost of CPU} = \text{Cost of Table} + 1500 = 13500 + 1500 = ₹15000 \]

### Step 7: Calculate the cost of a keyboard
The cost of a keyboard is 4 times the cost of a mouse.
\[ \text{Cost of Keyboard} = 4 \times \text{Cost of Mouse} = 4 \times 1000 = ₹4000 \]

### Step 8: Calculate the total cost of 3 air-conditioners
Initially, it was decided to install 4 air-conditioners, but later only 3 were installed.
\[ \text{Cost of 3 Air-Conditioners} = 3 \times \text{Cost of Air-Conditioner} = 3 \times 40500 = ₹121500 \]

### Step 9: Calculate the cost of a fan
The cost of a fan is \( \frac{1}{10} \) of the cost of an air-conditioner.
\[ \text{Cost of Fan} = \frac{1}{10} \times \text{Cost of Air-Conditioner} = \frac{1}{10} \times 40500 = ₹4050 \]

### Step 10: Calculate the total cost incurred
The total cost incurred is the sum of the costs of 3 air-conditioners and the fan.
\[ \text{Total Cost} = \text{Cost of 3 Air-Conditioners} + \text{Cost of Fan} = 121500 + 4050 = ₹125550 \]

### Final Answer
The total cost incurred is ₹125550.

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