WAEC 2020 · Paper 2 · Q6

(a)
Alidu negotiated to buy a car at GH₵ 27,200.00 from a second-hand car dealer and intended to sell it at a profit of $15\%$ . A week later, when Alidu went for the car, the dealer had increased the price by $16\%$ . How much did Alidu: (i) have to pay for the car; (ii) sell the car in order to make the same percentage profit?
Separate values with commas, e.g. 3, −2
(b)
A man left an estate worth GH₵ 64,000.00 to his three children: Aku, Danso and Morgan. Aku received thrice as much as Morgan and Danso received GH₵ 14,000.00 more than Morgan. How much did each child receive?
Separate values with commas, e.g. 3, −2

Worked solution (try it first)

The price went up by $16\%$ , so he paid $116\%$ of GH₵ 27,200: $1.16 \times 27\,200 =$ GH₵ 31,552.00.

To make a $15\%$ profit on what he paid, he must sell at $115\%$ of it: $1.15 \times 31\,552 =$ GH₵ 36,284.80.

Let Morgan receive GH₵ $m$ .
Aku received three times as much, $3m$ , and Danso GH₵ 14,000 more than Morgan, $m + 14\,000$ .
The three shares make up the estate: $3m + (m + 14\,000) + m = 64\,000$ .
So $5m = 50\,000$ and $m = 10\,000$ .
Morgan received GH₵ 10,000.00, Aku GH₵ 30,000.00 and Danso GH₵ 24,000.00.
Check: $10\,000 + 30\,000 + 24\,000 = 64\,000$ ✓.