Comprehension
DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.
A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange:
US Dollar 1 = 41 Bahts
Euro 1= 46 Bahts
The perfume is priced at 520 Bahts per bottle. After one bottle is purchased, subsequent bottles are available at a discount of 30%. Three friends S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays 2 Euros. M pays 4 Euros and 27 Thai Bahts and S pays the remaining amount in US Dollars.
Question: 1
How much does R owe to S in Thai Baht?
How much does R owe to S in Thai Baht?
Show Hint
Find the total bill after the 30% discount on the second and third bottles. Divide it by 3 and subtract what R has already paid, after converting Euros to Baht.
Updated On: Nov 7, 2026
- 428
- 416
- 334
- 324
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understand what is being asked:
Three bottles are bought. The first costs the full price and the next two get 30% off. All three friends share the total cost equally.
R and M both paid less than their equal share, and S paid the rest. So S has paid extra, and R and M must each hand over their shortfall to S. We need R's shortfall in Baht.
Step 2: Find the total cost in Baht:
First bottle: 520 Baht.
Discount on each later bottle is 30%, so each later bottle costs \(520 \times 0.70 = 364\) Baht.
Two later bottles cost \(2 \times 364 = 728\) Baht.
\[ \text{Total} = 520 + 728 = 1248 \text{ Baht} \]
Step 3: Find each friend's equal share:
The cost is shared equally among 3 friends.
\[ \text{Share} = \frac{1248}{3} = 416 \text{ Baht} \]
Step 4: Convert what R has paid into Baht:
R pays 2 Euros and 1 Euro = 46 Baht.
\[ 2 \times 46 = 92 \text{ Baht} \]
Step 5: Find what R still owes:
R's share is 416 Baht but R has put in only 92 Baht.
\[ 416 - 92 = 324 \text{ Baht} \]
Only S has paid more than a share, so this whole amount is owed to S.
Step 6: Why the other options are wrong:
416 is R's full share. It forgets to subtract the 92 Baht R has already paid.
428 comes from \(520 - 92\). That treats the full price of one bottle as R's share, but the share is one third of the whole bill, which is 416.
334 does not match any correct step in the working, so it is not a valid result.
Final Answer:
R owes S 324 Baht, which is option 4. \[ \boxed{4} \]
Three bottles are bought. The first costs the full price and the next two get 30% off. All three friends share the total cost equally.
R and M both paid less than their equal share, and S paid the rest. So S has paid extra, and R and M must each hand over their shortfall to S. We need R's shortfall in Baht.
Step 2: Find the total cost in Baht:
First bottle: 520 Baht.
Discount on each later bottle is 30%, so each later bottle costs \(520 \times 0.70 = 364\) Baht.
Two later bottles cost \(2 \times 364 = 728\) Baht.
\[ \text{Total} = 520 + 728 = 1248 \text{ Baht} \]
Step 3: Find each friend's equal share:
The cost is shared equally among 3 friends.
\[ \text{Share} = \frac{1248}{3} = 416 \text{ Baht} \]
Step 4: Convert what R has paid into Baht:
R pays 2 Euros and 1 Euro = 46 Baht.
\[ 2 \times 46 = 92 \text{ Baht} \]
Step 5: Find what R still owes:
R's share is 416 Baht but R has put in only 92 Baht.
\[ 416 - 92 = 324 \text{ Baht} \]
Only S has paid more than a share, so this whole amount is owed to S.
Step 6: Why the other options are wrong:
416 is R's full share. It forgets to subtract the 92 Baht R has already paid.
428 comes from \(520 - 92\). That treats the full price of one bottle as R's share, but the share is one third of the whole bill, which is 416.
334 does not match any correct step in the working, so it is not a valid result.
Final Answer:
R owes S 324 Baht, which is option 4. \[ \boxed{4} \]
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Question: 2
How much does M owe to S in US Dollars?
How much does M owe to S in US Dollars?
Show Hint
Turn M's 4 Euros into Baht, add the 27 Baht, and compare with one equal share of the bill. Then divide the gap by the Dollar rate.
Updated On: Nov 7, 2026
- 3
- 4
- 5
- 6
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Understand the question:
We use the same bill as before: 1248 Baht in all, so each friend's share is 416 Baht. This time we want M's debt to S, and the answer must be given in US Dollars, not Baht.
Step 2: Find how much M has paid:
M pays 4 Euros and 27 Baht. Each Euro is 46 Baht.
\[ 4 \times 46 + 27 = 184 + 27 = 211 \text{ Baht} \]
Step 3: Find M's shortfall in Baht:
\[ 416 - 211 = 205 \text{ Baht} \]
S is the only one who paid more than a share, so M owes this amount to S.
Step 4: Convert Baht to US Dollars:
US Dollar 1 = 41 Baht, so we divide by 41.
\[ \frac{205}{41} = 5 \text{ US Dollars} \]
The division is exact because \(41 \times 5 = 205\).
Step 5: Why the other options are wrong:
If M owed 3, 4 or 6 US Dollars, the Baht amounts would be \(3 \times 41 = 123\), \(4 \times 41 = 164\) and \(6 \times 41 = 246\). None of these equals the shortfall of 205 Baht, so these options fail.
Final Answer:
M owes S 5 US Dollars, which is option 3. \[ \boxed{3} \]
We use the same bill as before: 1248 Baht in all, so each friend's share is 416 Baht. This time we want M's debt to S, and the answer must be given in US Dollars, not Baht.
Step 2: Find how much M has paid:
M pays 4 Euros and 27 Baht. Each Euro is 46 Baht.
\[ 4 \times 46 + 27 = 184 + 27 = 211 \text{ Baht} \]
Step 3: Find M's shortfall in Baht:
\[ 416 - 211 = 205 \text{ Baht} \]
S is the only one who paid more than a share, so M owes this amount to S.
Step 4: Convert Baht to US Dollars:
US Dollar 1 = 41 Baht, so we divide by 41.
\[ \frac{205}{41} = 5 \text{ US Dollars} \]
The division is exact because \(41 \times 5 = 205\).
Step 5: Why the other options are wrong:
If M owed 3, 4 or 6 US Dollars, the Baht amounts would be \(3 \times 41 = 123\), \(4 \times 41 = 164\) and \(6 \times 41 = 246\). None of these equals the shortfall of 205 Baht, so these options fail.
Final Answer:
M owes S 5 US Dollars, which is option 3. \[ \boxed{3} \]
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