Question

A bus is hired at the rate of rs. 320 per day for a picnic. Since some people did not turn up, the average contribution was rs. 48 more per person per day than before. How many people were expected, and how many turned up?

a.) 8, 5

b.) 5, 2

c.) 10, 4

d.) 5, 4

Answer 1

c.... 10,4 is the crt answer

Answer 2

Given:

A bus is hired at a rate of Rs. 320 for a picnic. On the day of the picnic, some people have skipped the picnic. The remaining have decided to split the rent among themselves and the rent was Rs. 48 more per person than usual.

To Find:

The number of people who planned and the number of people attending finally are?

Solution:

1. The hire of the bus per day is Rs. 320.

2. Let the initial number of people who planned to join the picnic be x.

=> Therefore, the amount paid by each person if everyone attends the meeting is (320/x).

=> Let the final number of people who turned up on the day of the picnic be y.

=> Therefore, the amount paid by each person, in this case, will be (320/y).

3. It is further mentioned that the average contribution was Rs. 48 more in the second case. Hence,

=> (320/x) = (320/y) + 48, (solving the equation further)

=> (320/x) - (320/y) = 48,

=>$320(\frac{1}{x} -\frac{1}{y} ) = 48$

=>$(\frac{1}{x} -\frac{1}{y} ) = \frac{48}{320} ,$

=>$\frac{y-x}{xy} = \frac{3}{20}$.

4. The linear equation in two variables is obtained. Substitute the given options and verify with the RHS to find the solution.

a) (8, 5)

• (8-5)/8x5 = 3/40. ( Not equal to the RHS value, hence incorrect).

b) (5, 2)

• (5-2)/5x2 = 3/10. (Not equal to the RHS value, hence incorrect).

c) (10, 4)

• (10-4)/(10x4) = 6/40 = 3/20. ( Equal to the RHS value, hence it is the correct option.

5. Therefore, x = 10, and y = 4. ( The number of people expected are 10 and the number of people turned up are 4).

Therefore, option C is the correct answer.