Courier charges to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. For a total charge of $1.55, what could be the weight of the package in grams?

Introduction / Context:
This question combines unit charges with careful reading of the phrase or part thereof. The courier company charges a fixed amount for the first 250 grams and then adds a fee for each additional 100 gram block or any fraction of such a block. You are given the final charge and asked to deduce a possible weight of the package. Understanding how block based pricing works is essential for solving this type of problem.

Given Data / Assumptions:

• Base charge: 65 cents for the first 250 grams.
• Additional charge: 10 cents for each additional 100 grams or part of 100 grams.
• Total charge: $1.55, which is 155 cents.
• We need a weight in grams that is consistent with this billing structure.

Concept / Approach:
First subtract the base charge from the total to find how much was billed for additional weight. This extra charge comes in steps of 10 cents, each representing one additional 100 gram block or any part of such a block. The number of blocks determines a range for the extra weight beyond the first 250 grams. Adding the base 250 grams to this allowable range gives a band of possible total weights. We then check which answer choice falls inside this band.

Step-by-Step Solution:
Total charge = 155 cents. Base charge for first 250 grams = 65 cents. Extra charge = 155 − 65 = 90 cents. Each additional 100 gram block or part costs 10 cents. Number of extra blocks = 90 / 10 = 9 blocks. One block covers up to 100 grams beyond the first 250 grams. If there are 9 blocks, the extra weight beyond 250 grams is more than 800 grams and up to 900 grams (since 8 blocks would cover up to 800 grams; the 9th block covers anything above 800 grams up to 900 grams). So extra weight is in the interval (800, 900] grams. Total weight = 250 grams + extra weight, so total weight is in (1050, 1150] grams.

Verification / Alternative check:
Examine the answer choices. 1040 grams is less than 1050 grams, so the extra weight would be only 790 grams, which would require 8 blocks, not 9. That would give a total charge of 65 + 8 * 10 = 145 cents, not 155. 1155 grams exceeds 1150 grams; this would need 10 blocks of 100 grams (extra 905 grams), giving a charge of 65 + 10 * 10 = 165 cents. The only option in the correct range is 1145 grams, which is between 1050 and 1150 grams. For 1145 grams, extra weight is 1145 − 250 = 895 grams. This falls in the ninth block, so the number of blocks is 9 and the total charge is 65 + 9 * 10 = 155 cents, matching the given amount.

Why Other Options Are Wrong:

• 1155 grams: Requires 10 extra blocks and thus a charge higher than $1.55.
• 1040 grams: Requires only 8 extra blocks and a charge lower than $1.55.
• 950 grams: Extra weight is 700 grams, giving 7 blocks and a total of 135 cents.
• None of these: Incorrect because 1145 grams fits the billing exactly.

Common Pitfalls:
A major source of error is misreading or part thereof and treating blocks as exact 100 gram chunks only. Another mistake is to try matching weights directly to cents without first finding the number of blocks. Always convert the currency to a single unit, remove the base charge, compute the number of billable blocks and use inequalities to find the possible weight range. Then check which candidate weight falls inside that range.

Final Answer:
A possible weight for which the charge is $1.55 is 1145 grams.