Question

With the decrease in prices of tea by $15\%$ Tonu, the chaiwallah, was able to buy $2kg$ more of tea with the same $Rs.45$ that he spent each moth on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

Answer 1

As per question,
Suppose, purchased tea $=ykg$
Price of tea $perkg=Rs.x$
Discount $15\%perkg$
$=x-\frac{15}{100}\times x=\frac{85x}{100}$
A chaiwallah can by $2kg$ extra with $15\%$ of discount.
But without discount, $xy=\mathrm{14.....}\left(i\right)$
And $(x-\frac{15x}{100})\left(\frac{85x}{100}\right)(x-2)=45$ .........$\left(ii\right)$
By solving equation $\left(i\right)$ and $\left(ii\right)$:
$\Rightarrow \frac{85}{100}\left(45\right)+\frac{85\times 2x}{100}=45$
$\Rightarrow x=\frac{45\times 15}{2\times 85}=3.97perkg$
So, the reduced price $=\frac{85}{100}\times 3.97perkg$