Question

A fruit seller bought some watermelons at GH¢ 5.00 each and only to realize that 12 were rotten. She then sold the rest at GH¢ 7.00and made a profit of GH¢ 150.00. How many of the watermelon did she buy?​

Answer 1

$\huge \tt \red{\underline{Solution:}}$

➜ Let total number of watermelons be x

Let total number of watermelons be xfruit seller brought some watermelons at GH¢ 5.00

∴ total price of watermelons is 5x.

➜ 12 watermelons are rotten then fresh watermelons be (x - 12)

➜ after that she sold watermelons at GH¢7.00

∴ total price of fresh watermelons is 7(x - 12) = 7x - 84.

➜ She makes profit of GH¢ 150.

∴ total price of fresh watermelons without profit = 7x - 84 - 150 = 7x - 234

∴ price of fresh watermelons without profit = buying price of total watermelons

∴ 7x - 234 = 5x

∴ 7x - 5x = 234

∴ 2x = 234

$\huge ∴ x = \frac { \cancel{234}}{ \cancel2} = 117$

∴ x = 117

➣ She brought 117 watermelons.

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