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A community wishes to build a computer lab for 1500 students all from different families of community. The amount for building the lab is to be collected from families of those children. The family having girl child will have to pay equal to the respective total number of girl children in community. Similarly family having boy child have to pay amount equal to the respective total number of boy children in community. Sponsorship of 1/ 8th  the amount collected from families is received for constructing the computer lab. If ratio of boys to girl children in community is 7: 8 then how much money is available to build the computer lab?

A community wishes to build a computer lab for 1500 students all from different families of community. The amount for building the lab is to be collected from families of those children. The family having girl child will have to pay equal to the respective total number of girl children in community. Similarly family having boy child have to pay amount equal to the respective total number of boy children in community. Sponsorship of 1/ 8th  the amount collected from families is received for constructing the computer lab. If ratio of boys to girl children in community is 7: 8 then how much money is available to build the computer lab? Correct Answer Rs 1,271,250

Given:

Number of students in community = 1500

B: G = 7: 8

Calculation:

Number of girls in community = 1500 × 8/ 15

⇒ Number of girls in community = 800

Number of boys in community = 1500 × 7/ 15

⇒ Number of boys in community = 700

Contribution by boy family = 700

Contribution by girl family = 800

⇒ Total fund collected from family = (800 × 800) + (700 × 700)

⇒ Total fund collected from family = 640,000 + 490,000

⇒ Total fund collected from family = 1,130,000

⇒ Total fund from sponsorship = 1130000/ 8

⇒ Total fund available = 1,130,000 + 141, 250

⇒ Total fund available = 1,271,250

∴ Total fund available is Rs 1,271,250

 

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