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
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. 4963. Given (2x + 3y)/(5x - 2y) = 5/7, Find: x/y