Directions: The pie-graph given below shows the breakup of the cost of…

2024

Directions: The pie-graph given below shows the breakup of the cost of construction of a house. Assuming that the total cost of construction is Rs 600000, answer the question given below:

image.png

The sum spent on cement is:

  1. A.

    Rs 120045

  2. B.

    Rs 120078

  3. C.

    Rs 120000

  4. D.

    Rs 120023

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Concept: In a pie chart, each sector's percentage directly represents that item's share of the whole; so the rupee amount spent on any category equals (that category's percentage divided by 100) multiplied by the total amount, since all the sector percentages together add up to 100% of the total.

Application:

  1. From the chart, the Cement sector is labelled 20% of the total construction cost.

  2. Total cost of construction = Rs 6,00,000.

  3. Amount spent on cement = 20/100 x 6,00,000 = Rs 1,20,000.

Cross-check:

  1. All sector percentages sum to 100%: Timber 10% + Supervision 15% + Steel 15% + Bricks 15% + Cement 20% + Labour 25% = 100%, confirming the chart is internally consistent.

  2. Rs 1,20,000 divided by Rs 6,00,000 = 0.20 = 20%, matching the Cement label exactly.

Hence, the sum spent on cement is Rs 1,20,000.

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