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:

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The sum spent on cement is:

Answer: C. Rs 120000Concept: 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…

  1. A.

    Rs 120045

  2. B.

    Rs 120078

  3. C.

    Rs 120000

  4. D.

    Rs 120023

Attempted by 10 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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