question_answer

In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4: 7 and 2: 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6: 13, is  [SSC (CGL) 2013]

A) 2 : 7                             

B) 5 : 13

C) 4 : 13               

D) 22 : 35

Correct Answer: D

Solution :

Part of Darjeeling tea in 1st mixture \[=\frac{4}{11}\]

Part of Darjeeling tea in 2nd mixture \[=\frac{2}{7}\]

Part of Darjeeling tea in new mixture \[=\frac{6}{19}\]

By alligation rule,

\[\therefore \]Required Ratio \[=\frac{4}{133}:\frac{10}{209}=22:35\]