Question

63. Ten people planned to go to picnic by sharing the expenditure cost equally. If one person
withdraws from the arrangement at the last minute and the remaining people share equally the
entire cost of the picnic, then the share of each of the remaining persons increased by what
percent?
A. 14.3%
B. 12.5%
C. 10.1%
D. 17.896​

Answer 1

Given:

Number of people planning to go for a picnic = 10

Number of people going for the picnic (after one person withdraws) = 9

To Find:

By what percent the share of each person increased =?

Step-by-step explanation:

Let the total expenditure of the picnic be 900X

Then, the initial share of each person  = $\frac{900X}{10}$ = 90X  ........(1)

After one person withdraws, share of each person = $\frac{900X}{9}$ = 100X  .........(2)

Now, the percent by which the share of each person increases is

                                      =  $\frac{(100X - 90X)100}{90X}$ = 11.11%

Hence, the percentage share of each person increases by 11.11%