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.
If the cost of a keyboard and a mouse, increases by `20%` and `15%` respectively what will be the total cost of a desktop (given that the cost of a CPU and a monitor is the same)?

Options

A. ₹ 36,930
B. ₹ 32,640
C. ₹ 34,753
D. ₹ 30,670

Answer

To solve the problem step by step, we will calculate the costs of each item based on the relationships given in the question.

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

**Hint:** Start with the known values provided in the question.

### Step 2: Calculate the cost of a table.
- The cost of a table is 13.5 times the cost of a mouse.
- Cost of a table = 13.5 * Cost of a mouse = 13.5 * ₹1000 = ₹13500.

**Hint:** Use multiplication to find the cost of the table based on the cost of the mouse.

### Step 3: Calculate the cost of a chair.
- The cost of a chair is \( \frac{3}{5} \) of the cost of a table.
- Cost of a chair = \( \frac{3}{5} \) * Cost of a table = \( \frac{3}{5} \) * ₹13500 = ₹8100.

**Hint:** Use fractions to find the cost of the chair based on the cost of the table.

### Step 4: Calculate the cost of an air-conditioner.
- The cost of an air-conditioner is 5 times the cost of a chair.
- Cost of an air-conditioner = 5 * Cost of a chair = 5 * ₹8100 = ₹40500.

**Hint:** Again, use multiplication to find the cost of the air-conditioner based on the cost of the chair.

### Step 5: Calculate the cost of a monitor.
- The cost of a monitor is 20% more than the cost of a chair.
- Cost of a monitor = Cost of a chair + 20% of Cost of a chair = ₹8100 + (20/100) * ₹8100 = ₹8100 + ₹1620 = ₹9720.

**Hint:** Calculate the percentage increase to find the cost of the monitor.

### Step 6: Calculate the cost of a CPU.
- The cost of a CPU is ₹1500 more than the cost of a table.
- Cost of a CPU = Cost of a table + ₹1500 = ₹13500 + ₹1500 = ₹15000.

**Hint:** Add the additional cost to the cost of the table to find the cost of the CPU.

### Step 7: Calculate the cost of a keyboard.
- The cost of a keyboard is 4 times the cost of a mouse.
- Cost of a keyboard = 4 * Cost of a mouse = 4 * ₹1000 = ₹4000.

**Hint:** Use multiplication to find the cost of the keyboard based on the cost of the mouse.

### Step 8: Calculate the increased cost of the keyboard.
- The cost of the keyboard increases by 20%.
- Increased cost of keyboard = Cost of keyboard + 20% of Cost of keyboard = ₹4000 + (20/100) * ₹4000 = ₹4000 + ₹800 = ₹4800.

**Hint:** Calculate the percentage increase to find the new cost of the keyboard.

### Step 9: Calculate the increased cost of the mouse.
- The cost of the mouse increases by 15%.
- Increased cost of mouse = Cost of mouse + 15% of Cost of mouse = ₹1000 + (15/100) * ₹1000 = ₹1000 + ₹150 = ₹1150.

**Hint:** Calculate the percentage increase to find the new cost of the mouse.

### Step 10: Calculate the total cost of a desktop.
- The total cost of a desktop includes the costs of the monitor, CPU, keyboard, and mouse.
- Total cost of desktop = Cost of monitor + Cost of CPU + Increased cost of keyboard + Increased cost of mouse
- Total cost of desktop = ₹9720 + ₹15000 + ₹4800 + ₹1150 = ₹30770.

**Hint:** Add all the costs together to find the total cost of the desktop.

### Final Answer:
The total cost of a desktop is ₹30770.