question_answer

Rs. 3 400 is divided among A, B, C, D in such a way that the share of A and B, B and C, C and D may be as 2 : 3, 4 : 3 and 2 : 3 respectively. The sum of shares of Band D is

A) Rs. 2040

B)  Rs. 1680

C)  Rs. 2000

D)  Rs. 1720

Correct Answer: A

Solution :

or A : B : C : D = 16 : 24 : 18 : 27

Sum of the ratios \[=16+24+18+27=85\]

\[\therefore \] B's share Rs. \[\frac{24}{85}\times 3400\]= Rs. 960

D's share = Rs. \[\frac{27}{85}\times 3400\]= Rs. 1080

\[\therefore \]The required sum = Rs.  \[(1080+960)\]= Rs. 2040