WAEC 2019 · Paper 2 · Q10

Commercial arithmetic

(a)
A woman bought 130 kg of tomatoes for ₦52,000.00. She sold half of the tomatoes at a profit of $30\%$ . The rest of the tomatoes began to go bad; she then reduced the selling price per kg by $12\%$ . Calculate the new selling price per kg.
(b)
Calculate the percentage profit on the entire sales if she threw away 5 kg of bad tomatoes.

Worked solution (try it first)

(a)

Cost per kg $= \frac{52\,000}{130} = ₦400$ .
At $30\%$ profit the selling price was $1.3 \times 400 = ₦520$ per kg.
Reduced by $12\%$ : $0.88 \times 520 = ₦457.60$ per kg.

(b)

She sold 65 kg at ₦520: ₦33,800.
Of the other 65 kg she threw away 5 kg and sold 60 kg at ₦457.60: ₦27,456.
Total sales $= ₦61,256$ .
Profit $= 61\,256 - 52\,000 = ₦9256$ .
Percentage profit $= \frac{9256}{52\,000} \times 100\%$
$\approx 17.8\%$ .

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