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26 Jan 2026, 13:55
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D
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Difficulty:
65%
(hard)
Question Stats:
58% (02:20) correct
42%
(02:20)
wrong
based on 81
sessions
History
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A company ordered a shipment of electronic gadgets, consisting of two types: standard gadgets and high-end gadgets, from its overseas importer. The standard gadgets cost $25 each, while the high-end gadgets cost $45 each. The company ordered 40% more high-end gadgets than standard gadgets. Import duties are a fixed percentage of the base prices, and the total cost of the shipment, including both the base prices and the import duties, amounted to $18,480.00.
What was the amount, in dollars, of the import duties on the shipment?
1. The import duty on the order was 5% of the total base price of the shipment.
2. The shipment contained exactly 200 standard gadgets.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
What was the amount, in dollars, of the import duties on the shipment?
1. The import duty on the order was 5% of the total base price of the shipment.
2. The shipment contained exactly 200 standard gadgets.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
31 Jan 2026, 06:22
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Amity007
Base price = Cost price
\(s*25+ 1.4s*45 + \frac{x}{100}*s*25+ \frac{x}{100}*1.4s*45 = 18480\)
Where \(x\) is the fixed percentage import duty on the Cost price
\(s(1 + \frac{x}{100})*65= 18480 \) ...(i) after simplification of above eqn.
We need \(s\) and \(x\), to find the total CP and total import duty respectively.
1. The import duty on the order was 5% of the total base price of the shipment.
This gives us \(x\). Now using (i) we can find \(s\).
We can find total CP =\( s*25 + 1.4s*45\)
Total import duty = \(\frac{5}{100}\) (CP)
SUFF.
2. The shipment contained exactly 200 standard gadgets
This gives us \(s\). Usng (i) we can find \(x\).
Now that we know both \(s\) and \(x\), like we did in statement \(1\), we can find total import duty.
SUFF.
Ans D
Hope it helped.
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