In 2016 the ratio of salaries of Muskan and Babli was 2 3 The ratios of the salary of 2016 to that o...........

Quant (SSC) Ratio, Proportion

In 2016 the ratio of salaries of Muskan and Babli was 2 : 3. The ratios of the salary of 2016 to that of the 2017, in the case of Muskan and Babli respectively, are 3 : 4 and 5 : 7. If this year i.e. 2017 the difference in their salaries is 2300, what is Babli’s salary this year?

Rs. 5950

Rs. 6300

Rs. 4300

Rs. 5600

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Explanation:

Let a year ago i.e. in 2016 Muskan and Babli’s salaries were x and y and now it is m and n respectively.
Given that,
x /y = 2 /3 ........(i)
x /m = 3 /4 .........(ii)
y /n = 5 /7 ............(iii)
From (i) and (ii),
m /y = (2 x 4) /(3 x 3) = 8 /9 .......(iv)
From (iii) and (iv)
m /y = (8 x 5) /(9 x 7) = 40 /63
n /m = 63 /40
n /m - 1 = 63 /40 - 1
n - m /m = 63 - 40 /40
n - m /m = 23 /40..........(v)
Also, given that (n – m) = 2300
Putting the value In equation (v)
2300 /m = 23 /40
m = 40 x 2300 /23 = 4000
So, n = 4000 + 2300 = 6300