Question

A reduction in 10% n price of shugar enables me to get 3/2 kg more for rs 225 find the reduced price

Answer 1

$$\begin{gathered} Lettheoriginalpriceof1kgsugar=Rsx \\ Totalmoney=Rs.225 \\ QuantityofsugarboughtforRs225=\frac{225}{x}kg \end{gathered}$$

$$\begin{gathered} Letthereducedpriceperkgofsugar=Rs\left[x-\frac{x}{10}\right]=Rs\left(\frac{9x}{10}\right) \\ QuantityofsugarboughtforRs225=\left(\frac{2250}{9x}\right)kg \\ Now, \\ \left(\frac{2250}{9x}\right)-\frac{225}{x}=\frac{3}{2} \\ \Rightarrow \frac{2250-2025}{9x}=\frac{3}{2} \\ \Rightarrow \frac{225}{9x}=\frac{3}{2} \\ \Rightarrow x=\frac{450}{27} \\ so,reducedpriceperkg=Rs\left[\frac{9}{10}\times \frac{450}{27}\right]=Rs15 \end{gathered}$$