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There are 945 students in a school. Ratio of boys to girls in the school is 4 : 3 and fee of each girl is 20% lesser than a that of boy. If the sum of fees of boys and girls is Rs. 535680, then find the fee of 1 girl.

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There are 945 students in a school. Ratio of boys to girls in the school is 4 : 3 and fee of each girl is 20% lesser than a that of boy. If the sum of fees of boys and girls is Rs. 535680, then find the fee of 1 girl.
1). Rs. 620
2). Rs. 496
3). Rs. 516
4). Rs. 775


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Answered by on | Votes 2 |

Let us assume number of boys and girls in the school is 4x and 3x respectively.

Total number of student = 4x + 3x = 7x = 945 (given)

⇒ x = 945/7 = 135

Number of boys = 4x = 4 × 135 = 540

Number of girls = 3x = 3 × 135 = 405

Let us assume fee of 1 boy is Rs. Y

Total Fees of 540 boys = Y × 540 = Rs. 540Y

Fees of 1 girl = 80% of Y = 0.8Y

Fees of 405 girls = 0.8Y × 405 = Rs. 324Y

Sum of fees of boys and girls = 540Y + 324Y = 864Y = Rs. 535680

⇒ Y = 535680/864 = 620

Fee of a girl = 0.8 × 620 = Rs. 496

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