The ratio of sugar to flour in a mixture is 1:5. After 1 kg of sugar and 2 kg of flour are added to the mixture, the ratio has changed to 2:5.
A further 1 kg of sugar and 2 kg of flour are added to the mixture.
What is the new ratio of sugar to flour?
A) 3:5
B) 11:25
C) 3:7
D) 14:25
E) 4:7
IMAT 2023 · Question 50
Q50 - Proportions and percentages
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The correct answer is B) 11:25.
Call sugar s and flour f. At the start f = 5s.
After adding 1 kg sugar and 2 kg flour: (s + 1)/(5s + 2) = 2/5 → 5s + 5 = 10s + 4 → s = 0.2, f = 1.
After the second addition: 2.2 kg sugar and 5 kg flour.
2.2 : 5 = 11 : 25
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