Question

The cost of the three components A, B and C of an electronic machine worth ₹12,000 in 2020 is given as a Pie-chart as shown below :

In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was

• A. ₹3,300, ₹4,950, ₹5,350
• B. ₹3,300, ₹4,800, ₹5,500
• C. ₹3,200, ₹4,700, ₹5,600
• D. ₹3,600, ₹4,800, ₹5,600

Answer 1

The Correct Option is B

Let's determine the costs of the components A, B, and C in 2021 based on the information provided. The pie chart gives us the angles corresponding to each component in 2020, with the total machine cost being ₹12,000.

Step 1: Determine the costs of A, B, and C in 2020.

• Angle for A = 90°
• Angle for B = 120°
• Angle for C = 150°

The total angle in a pie chart is 360°.

Cost for each component can be calculated as:

• Cost of A in 2020 = \(\left(\frac{90}{360}\right) \times 12,000 = 3,000\)
• Cost of B in 2020 = \(\left(\frac{120}{360}\right) \times 12,000 = 4,000\)
• Cost of C in 2020 = \(\left(\frac{150}{360}\right) \times 12,000 = 5,000\) 

Step 2: Calculate the increased costs for 2021.

• Cost of A in 2021 = \(3,000 + \left(\frac{10}{100} \times 3,000\right) = 3,300\)
• Cost of B in 2021 = \(4,000 + \left(\frac{20}{100} \times 4,000\right) = 4,800\)
• Cost of C in 2021 = \(5,000 + \left(\frac{10}{100} \times 5,000\right) = 5,500\)

Conclusion:

Thus, the costs of components A, B, and C in 2021 are ₹3,300, ₹4,800, and ₹5,500 respectively.

The correct answer is: ₹3,300, ₹4,800, ₹5,500.