Question

Question 115

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

Answer 1

Let chaiwallah purchase y kg tea.
Let price of tea per kg = Rs. x
Discount 15 % per kg = $x-\frac{15}{100}\times x=\frac{85x}{100}$
Cahiwallah can buy 2 kg extra with 15 % discount.
But without discount,
xy = 45 ..........(i)
and $\left(\frac{85x}{100}\right)$ (y + 2) = 45 ...............(ii)
After solving Eqs. (i) and (ii),
$\frac{85}{100}\left(45\right)+\frac{85\times 2x}{100}=4545[1-\frac{85}{100}]=\frac{85\times 2x}{100}\frac{45\times 15}{100}=\frac{85\times 2x}{100}x=\frac{45\times 15}{2\times 85}=\frac{135}{34}$ per kg = 3.97 per kg
$\therefore$ Reduced price =$\frac{85}{100}\times 3.97=\frac{337.45}{100}=3.3748\approx 3.38$ per kg