Question

Question 122

A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹ 200 per kg and that of second variety is ₹ 300 per kg. If he sells the blended tea at the rate of 275 per kg, then find out the percentage of his profit or loss.

Answer 1

Given, ratio of blended two varieties of tea (green tea : lemon tea) = 5 : 4
Cost of first variety of tea = ₹ 200 per kg
Cost of second variety of tea = ₹ 300 per kg
SP of blended tea = ₹ 275 per kg
According to the ratio,
Let first variety of tea be 5x kg and second variety of tea be 4x kg.
Then, cost of first variety of tea = 5x $\times$ 200 = ₹ 1000x
Cost of second variety of tea = 4x $\times$ 300 = ₹ 1200x
Total quantity = 4x + 5x = 9x kg
So, for 9x kg.
$\therefore$ SP of blended tea = $275\times 9x$ = ₹ 2475x
$\therefore C.P.<S.P.$
So, there is profit on blended tea.
Profit = S.P. - C.P.
$=2475x-2200x$ = ₹ 275x
Profit % =$\frac{Profit}{CP}\times 100\%=\frac{275x}{2200x}\times 100\%=\frac{275}{22}$= 12.5 %
Hence, there is 12.5 % profit on blended tea (new variety).