ITPEC IP October 2024 Question 6
ITPEC IP October 2024 — Question 6 of 100
For up to 100 units, A charges every unit at 5; above 300 units, B adds the three progressive bands. The expressions are units × 5 and 100 × 5 + 200 × 10 + (units - 300) × 15. The tariff is progressive: each consumption band is charged only at its own rate.
For the first branch, all used units are within the first band. For the final branch, the first 100 units cost 5 each, the next 200 cost 10 each, and only consumption beyond 300 costs 15 each. These expressions are exactly option (d).
Answer (d)
Why not others:
- (a) and (b) subtract 100 in the first band, producing incorrect or negative charges
- (a) and (c) also calculate the upper tiers from overlapping quantities, charging some units more than once
Key rule: In a progressive tariff, calculate each completed band at its full width and the final band only on usage above its threshold.
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