1. If the price of sugar is decreased by 18%, then a person can buy 16.2 kg sugar more for Rs 4500. What will be the new price (in Rs) of sugar per kg?
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By: anil on 05 May 2019 02.04 am
Let price of sugar = Rs. $$100x$$ per kg Sugar bought for Rs. 4500 = $$frac{4500}{100x}=frac{45}{x}$$ kg New price of sugar = $$100x-(frac{18}{100} imes100x)=Rs.$$ $$82x$$ Sugar bought for Rs. 4500 = $$frac{4500}{82x}$$ kg According to ques, => $$frac{45}{x}+16.2=frac{4500}{82x}$$ => $$frac{4500}{82x}-frac{4500}{100x}=16.2$$ => $$4500(frac{1}{82x}-frac{1}{100x})=16.2$$ => $$frac{100x-82x}{100x imes82x}=frac{16.2}{4500}$$ => $$frac{18}{82x}=frac{162}{450}$$ => $$x=frac{18}{82} imesfrac{450}{162}$$ => $$x=frac{50}{82}$$ $$ herefore$$ New price = $$82 imesfrac{50}{82}=Rs.$$ $$50$$ => Ans - (D)
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