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Answers
Ans:-1.
SP of the toy=Rs.24
Let the CP of the toy is Rs.x
x=(24-x)/x*100
x^2=(24-x)100
x^2+100x-2400=0
x^2+120x-20x-2400=0
(x+120)(x-20)=0
x+120=0 or x-20=0
x=-120 or x=20
Since CP cannot be negative value
x=20.
And:-2.
Let the number of students that turned up for the picnic be N. The budget for the food was 480. The amount per student was 480/N. If the eight students that did not turn up had also come the total number of students would be N + 8 and the amount payable by each student would have been 480/(N+8). The difference between 480/N and 480/(N +8) is 10.
480/N - 480/(N +8) = 10
=> 48/N - 48/(N + 8) = 1
=> 48(N + 8) - 48N = N*(N + 8)
=> 48N + 384 - 48N = N^2 + 8N
=> N^2 + 8N - 384 = 0
=> N^2 + 24N - 16N - 384 = 0
=> N(N + 24) - 16(N + 24) = 0
=> (N - 16)(N + 24) = 0
=> N = 16 and N = -24
As the number of students cannot be negative, ignore N = -24.
The number of students that turned up for the picnic is 16
hope it is helpful to you.