Question

Eric travels from the UK to India every year.
In 2010, the exchange rate was £1 = 67.1 rupees.
In 2012, the exchange rate was £1 = 82.5 rupees.
In 2010 Eric changed £600 into rupees.
How many pounds (£) did Eric have to change to rupees in 2012 to get the same number
of rupees as he did in 2010?

Answer 1

Eric would need to change £488 in 2012 to get 40260 Rupees

If the exchange rate in 2010 was £1 at 67.1 Rupees. This effectively means that he would have changed £600 for

600 × 67.1 = 40260 Rupees

This means that he needs 40260 Rupees in 2012, and to get the equivalent in £, we would have to invert the conversion.

£1 = 82.5 Rupees

£x = 40260 Rupees

If we cross multiply, we have

£x × 82.5 Rupees = £1 × 40260

£x = 40260/82.5

£x = 488

This means that in 2012, Eric would need to exchange only £488 to get the equivalent 40260 Rupees

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