Question

On St. Vincent's birthday chocolates were
distributed to the children of the primary classes. If
the total strength of the primary classes increases
by 12% and the total number of chocolates
distributed increases by 34.4%, the number of
chocolates given to each child increases by what
percent?
(A) 22.4% (B) 24.1% (C) 18% (D) 20%​

Answer 1

Answer:

d) 20%

Step-by-step explanation:

To find:

The number of chocolates given to each children increases by what percentage

Given that:

Class strength increased percentage = 12%

total number of chocolates distributed increased percentage = 34.4%

Formula:

$Percent Increase: \frac{\text {New}-\text {Original}}{\text {Original}} \times 100$

Solution:

assume children = 100

total number of chocolates = 1000 then,

chocolates per child = 1000÷100

                                  = 10 chocolates

after increase of children 12% we get,

children = 112

after increase in total no of chocolates 34.4% we get,

chocolates = 1344 now,

chocolates per child = 1344÷112

                                  = 12 chocolates

so to find increase in chocolates per child, we need to substitute in formula

$Percent Increase: \frac{\text {New}-\text {Original}}{\text {Original}} \times 100$

                          = $\frac{\text {12}-\text {10}}{\text {10}} \times 100$

                          = $\frac{\text 2}{\text {10}} \times 100$

                          = 20%

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