Three boys and two girls went for a movie. Each boy had spent Rs. x while each girl spent Rs. 20 less than each boy. If the product of the total amount spent by the boys and the total amount spent by the girls (both in rupees) is 750, then find the amount spent by each girl. (in Rs.)
Explanation:
The amount spent by each boy is Rs. ‘x’ ⇒ Total amount spent by boys = 3 × x = 3x
The amount spent by each girl is Rs. ‘x - 20’ ⇒ Total amount spent by boys = 2 × (x – 20) = 2(x – 20)
Given, 3x × 2(x - 20) = 750
⇒ x(x – 20) = 125
⇒ x2 – 20x – 125 = 0
⇒ (x – 25)(x + 5) = 0
⇒ x = 25 or -5
x has to be positive, hence x = 25.
∴ Amount spent by each girl = 25 – 20 = Rs. 5
Hence, 5.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.