Question

In what ratio a grocer mix two varieties of tea worth Rs. 70 per kg and Rs. 75 per kg so that by selling mixture at Rs. 80.30 kg he may gain 10%?

• A. 3:2
• B. 2:3
• C. 3:5
• D. 4:5

Answer 1

The correct option is B

2:3

SP of 1 kg of mixture=Rs. 80.30
Gain=10%
CP of 1 kg mixture =Rs. $(\frac{100}{110}\times 80.30)=Rs.73$
Let grocer mixed x kg of tea worth Rs. 70 per kg to y kg of tea worth Rs. 75 per kg.
Cost of (x+y) kg of tea= Rs.(70x+75y)
$\because$ Cost of 1 kg of mixture= Rs. 73
$\therefore$ Cost of (x+y) kg of mixture =Rs. 73(x+y)
So, 73(x+y)=70x+75y
73x+73y=70x+75y
3x=2y
$\frac{x}{y}=\frac{2}{3}$
Required ratio is 2:3