Question

In what ratio should two kinds of sugar at Rs. 140 and Rs. 260 per quintal be mixed so that the price of each quintal of the mixed sugar will be Rs. 200?

• A. 4:3
• B. 3:4
• C. 1:1
• D. 3:5

Answer 1

The correct option is C

1:1

Let us $x$ quintal of sugar, costing Rs. 140 per quintal and $y$ quintal of sugar, costing Rs. 260 per quintal
Weight of mixture =(x+y) quintal
Total worth of mixture = Rs.$(140\times x+260\times y)$
= Rs. (140x+260y)
According to question, worth of 1 quintal of mixture= Rs. 200
$\therefore$ Worth of (x+y) quintal of sugars =200(x+y)
Hence, 200(x+y) =140x+260y
60x= 60y
$\frac{x}{y}=\frac{60}{60}=1:1$