If the price of gold increases by 30 %,find b | vedclass

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(A) Let the initial price of gold be $100$ and the initial quantity be $100$ units.Initial expenditure $= 100 	imes 100 = 10000$.New price of gold $=

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$23 \frac{1}{13} \%$

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(A) Let the initial price of gold be $100$ and the initial quantity be $100$ units.Initial expenditure $= 100 	imes 100 = 10000$.New price of gold $= 100 + 30 = 130$.Let the new quantity be $x$ units.Since the expenditure remains the same,$130 	imes x = 10000$.$x = \frac{10000}{130} = \frac{1000}{13} = 76 \frac{12}{13}$ units.Reduction in quantity $= 100 - 76 \frac{12}{13} = 23 \frac{1}{13} \%$.Alternatively,using the formula: $	ext{Reduction} = \frac{	ext{Percentage Increase}}{100 + 	ext{Percentage Increase}} 	imes 100 \%$.$	ext{Reduction} = \frac{30}{100 + 30} 	imes 100 \% = \frac{30}{130} 	imes 100 \% = \frac{300}{13} \% = 23 \frac{1}{13} \%$.

If the price of gold increases by $30 \%$,find by how much the quantity of ornaments must be reduced so that the expenditure may remain the same as before?

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