Mr. Kassim had some mangoes and apples for sale. He sold 144 mangoes. 40% of the fruits he sold were apples.

  1. (a)

    How many fruits did Mr Kassim sell altogether?

  2. (b)

    He sold 30% of his fruits. 70% of the fruits left unsold were mangoes. How many apples did Mr. Kassim have at first?

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Worked solution

14(a)

1. Find the percentage of sold fruits that were mangoes

Percentage of mangoes sold = 100%−40%=60%100\% - 40\% = 60\%

2. Calculate the total number of fruits sold

60%60\% of total sold = 144144
1%1\% of total sold = 14460=2.4\frac{144}{60} = 2.4
100%100\% of total sold = 2.4×100=2402.4 \times 100 = 240

Answer

240240

14(b)

1. Find the total number of fruits Mr. Kassim had at first.

From part (a), the total number of fruits sold is 240240.
Since he sold 30%30\% of his fruits:
30%→24030\% \rightarrow 240
1%→240÷30=81\% \rightarrow 240 \div 30 = 8
100%→8×100=800100\% \rightarrow 8 \times 100 = 800
Total fruits at first = 800800

2. Find the number of apples left unsold.

Number of fruits left unsold = 800−240=560800 - 240 = 560
Percentage of unsold fruits that were apples = 100%−70%=30%100\% - 70\% = 30\%
Apples left unsold = 30%×560=30100×560=16830\% \times 560 = \frac{30}{100} \times 560 = 168

3. Find the total number of apples at first.

Number of apples sold = 240−144=96240 - 144 = 96
Total apples at first = Apples sold + Apples left unsold
Total apples at first = 96+168=26496 + 168 = 264

Answer

264264

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