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WAEC Mathematics 2023 Paper

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Question : 38

Total: 50

The price of a shoe was decreased by 22%. If the new price is \$27.3. what is the original price.

\$62.30
\$42.30
\$72.00
\$35.00

Solution:

Concept:

A decrease of

22\%

means the new price is

78\%

of the original price.

Explanation:

Let the original price be

x

.

After a

22\%

decrease, the remaining price is

(100\% - 22\%) = 78\%

of

x

.

So,

78\%

of

x = \$27.3

.

Write this as

\frac{78}{100}x = 27.3

.

Multiply both sides by

100

:

78x = 2730

.

Divide both sides by

78

:

x = \frac{2730}{78} = 35

.

Thus, the original price is

\$35.00

.

Answer:

D.

\$35.00

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