Divide Rs. 6940 in such a way that A gets (2/3)rd of what B gets

Divide Rs. 6940 in such a way that A gets (2/3)rd of what B gets
Posted on 05-02-2023

Ques - Divide Rs. 6940 in such a way that A gets (2/3)rd of what B gets and B gets (3/5)th of what C gets? What is the share of A and B together ?

(a) Rs. 1982

(b) Rs. 1388

(c) Rs. 3470

(d) Data insufficient

Solution - 

Total Rupees = 6940

A = (2/3)B

A : B = 2 : 3

B = (3/5)C

B : C = 3 : 5

Therefore,

A : B : C = 2 : 3 : 5

(A + B) : C = (2 + 3) : 5

(A + B) : C = 5 : 5

(A + B) : C = 1 : 1

Share of (A + B) = (1/2) × 6940

Share of (A + B) = 3470

Therefore,

The share of A and B together is Rs. 3470.

Hence,

The correct answer is option (c) Rs. 3470.

Thank You