Direction : Study the following table and answer the questions that follow : Number of units produced and sold by six factories (A, B, C, D, E and F) during a yearFactory Units Produced Units Sold A 400 320 B 500 400 C 600 450 D 700 560 E 800 600 F 1000 800
The unsold units of factories C and E together constitute what fraction of their combined production ?
\(\frac{1}{4}\)
Unsold units of a factory = units produced − units sold. The fraction is the total unsold divided by the total produced.
Step 1 — Factory C: unsold = 600 − 450 = 150. Factory E: unsold = 800 − 600 = 200. Total unsold = 350.
Step 2 — Combined production of C and E = 600 + 800 = 1400.
Step 3 — Required fraction = \(\frac{350}{1400} = \frac{1}{4}\).
One-fifth would need 280 unsold units, two-sevenths 400 and one-third about 467, none of which matches the table.
\(\frac{1}{4}\) option is correct.
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Column I
Column II
a.
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i.
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b.
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ii.
Improper fraction
c.
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iii.
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d.
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iv.
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