The ratio between the sales of sugar and salt 6 years ago was 7 30 While it will be 15 16 after 4 ye...........

Quantitative Aptitude (CDS) Problems based on Ages

The ratio between the sales of sugar and salt 6 years ago was 7: 30. While it will be 15: 16 after 4 years. What is the present sale of sugar?

1057/157 kg

8kg

1049/169 kg

169/1048 kg

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Explanation:

Let the present sale of sugar and salt be x and y kg respectively.
From 1st condition,
x – 6/y-6=7/30
30x-180=7y-42
= 30x – 7y= 138...1
From 2nd condition,
x + 4/y+4=15/16
= 16x+64=15y+60
= 16x-15y= – 4 …2
Multiplying equation 1 by 15 and equation 2 by 7 and subtracting both equation
X=1049/169
Present sale of sugar =1049/169 kg