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?

Let price of sugar = Rs. $$100x$$ per kg

Sugar bought for Rs. 4500 = $$\frac{4500}{100x}=\frac{45}{x}$$ kg

New price of sugar = $$100x-(\frac{18}{100}\times100x)=Rs.$$ $$82x$$

Sugar bought for Rs. 4500 = $$\frac{4500}{82x}$$ kg

According to ques,

=> $$\frac{45}{x}+16.2=\frac{4500}{82x}$$

=> $$\frac{4500}{82x}-\frac{4500}{100x}=16.2$$

=> $$4500(\frac{1}{82x}-\frac{1}{100x})=16.2$$

=> $$\frac{100x-82x}{100x\times82x}=\frac{16.2}{4500}$$

=> $$\frac{18}{82x}=\frac{162}{450}$$

=> $$x=\frac{18}{82}\times\frac{450}{162}$$

=> $$x=\frac{50}{82}$$

$$\therefore$$ New price = $$82\times\frac{50}{82}=Rs.$$ $$50$$

=> Ans - (D)