Ratio And Proportion Ques 48
Question-
There are 2 numbers which are in the ratio $4: 5$. If 4 is subtracted from both numbers the ratio becomes 3:4. What will be the ratio if 6 is added in the both numbers?
(1) $5: 6$
(2) $10: 13$
(3) $11: 13$
(4) $7: 11$
(5) $3: 5$
(IBPS RRBs Officer CWE Prelim Exam, 07.08.2021)
Show Answer
Correct Answer: (3)
Solution: (3)
Two numbers respectively $=4 x$ and $5 x$
When 4 is subtracted,
$\frac{4 x-4}{5 x-4}=\frac{3}{4} $
$\Rightarrow 16 x-16$ $=15 x-12 $
$\Rightarrow 16 x-15 x = 16-12$
$\Rightarrow x=4$
The respective numbers =16 and 20
The new ratio $=(16+6):(20+6)=22: 26$ $=11: 13$
BETA
