Question

Read the following information carefully to answer the question given below
The sum of the incomes of A and B is more than that of C and D taken together The sum of the incomes of A and C is the same as that of B and D taken together Moreover A earns half as much as the sum of the incomes of B and D If A's income be Rs.80,000 per annum and the difference between the incomes of B and D be the same as A's income B's income is __________

• A. Rs. 40,000
• B. Rs. 60,000
• C. Rs. 80,000
• D. Rs. 1,20,000

Answer 1

The correct option is D Rs. 1,20,000

$incomesofA+B>C+D$
$incomesofA+C=B+D$
$incomesofA=1/2\ast (B+D)=Rs.80,000$
So, $incomesofB+D=80000\ast 2=160000$ ----eq1
$incomesofB-D=Rs.80,000$ -------eq2
from eq1 and eq2
$2\ast incomesofB=240000$
$incomesofB=120000$
Answer (D) 1,20,000