CAT 2003 Slot 1 — QA Question 2
Answer the following question based on 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 and 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.
How much does M owe to S in US Dollars?
Answer & solution
- A
3
- B
4
5
- D
6
Price of 1st bottle = 520 Bahts
Price of 2nd and 3rd bottles each = (520 × 0.7) = 364 Bahts
∴ Total cost of all three bottles = 1248 Bahts
Cost per person = 416 Bahts
R pays 2 Euros = 2 × 46 = 92 Bahts
M pays 4 Euros and 27 Bahts = 4 × 46 + 27 = 211 Bahts
S pays the remaining amount = 1248 − (92 + 211) = 945 Bahts
M owes = 416 − 211 = 205 Bahts to S
But, 205 Bahts = 205/41 = 5 US Dollars
Hence, option (c).