Question Bank - General Aptitude

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The Gross Domestic Product (GDP) in Rupees grew at 7% during 2012-2013. For international comparison, the GDP is compared in US Dollars (USD) after conversion based on the market exchange rate. During the period 2012-2013 the exchange rate for the USD increased from Rs. 50/ USD to Rs. 60/ USD. Indias GDP in USD during the period 2012-2013

A.
increased by 5%
B.
increased by 13%
C.
decreased by 20%
D.
decreased by 11%

Solution:

Let the original GDP be x.Therefore, its international value is \(\frac{x}{50}\)GDP in Rupees grew at 7%Therefore, GDP becomes \(\frac{107x}{100}\)USD increased from Rs. 50/ USD to Rs. 60/ USD. Therefore, its international value is \(\frac{\frac{107x}{100}}{60} = \frac{107x}{6000}\)Percentage Increase = \(\frac{- \frac{13x}{6000}}{\frac{x}{50}} \times 100 = -\frac{13}{120} \times100 =10.83\)Since the percentage is negative ? it is decreased by 10.83 ? 11%

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