If Rs. 160 = £1, £30 = 90 Australian dollars, and 10 Australian dollars = 250 Thai Baht, how much Baht will be equal to Rs. 27,200?



Answer :

To determine how many Thai Baht (THB) will be equal to Rs. 27,200, we need to follow a series of currency conversions as described below:

1. Convert Indian Rupees to British Pounds:
It is given that Rs. 160 is equal to £1.

[tex]\[ \text{Amount in British Pounds} = \frac{\text{Amount in Rupees}}{\text{Rupees per Pound}} = \frac{27200}{160} = 170 \text{ Pounds} \][/tex]

2. Convert British Pounds to Australian Dollars:
It is given that £30 is equal to 90 Australian Dollars (AUD).

[tex]\[ \text{Pounds to AUD rate} = \frac{90}{30} = 3 \][/tex]

Therefore,

[tex]\[ \text{Amount in Australian Dollars} = \text{Amount in Pounds} \times \text{Pounds to AUD rate} = 170 \times 3 = 510 \text{ AUD} \][/tex]

3. Convert Australian Dollars to Thai Baht:
It is given that 10 AUD is equal to 250 Thai Baht.

[tex]\[ \text{AUD to THB rate} = \frac{250}{10} = 25 \][/tex]

Therefore,

[tex]\[ \text{Amount in Thai Baht} = \text{Amount in Australian Dollars} \times \text{AUD to THB rate} = 510 \times 25 = 12750 \text{ Thai Baht} \][/tex]

Thus, Rs. 27,200 is equivalent to 12,750 Thai Baht.