Question

A merchant has two types of tea: one costing ₹70/kg and the other costing ₹100/kg. He mixes them and sells the mixture at ₹91/kg, earning a 25% profit. In what ratio did he mix the two types of tea?

• A. 1 : 2
• B. 68 : 7
• C. 23 : 21
• D. 1 : 3

Answer 1

Answer:

B. 68 : 7

Selling price of the mixture = ₹91/kg

Profit = 25%

So, the cost price of the mixture is:

$\text{CP}=\frac{91\times 100}{125}$=₹72.8/ kg

Now use the rule of alligation:

$\text{Ratio}=(100-72.8):(72.8-70)$

$=27.2:2.8$

$=272:28=68:7$

Therefore, the two types of tea (₹70/kg : ₹100/kg) were mixed in the ratio:

$\boxed{68:7}$