Question

$A$ earns $800Rs.$ more than $B.$ They both save together $3,200Rs.$ which is one-fourth of $A^{\prime }$s salary plus one-sixth of $B^{\prime }$s salary. Find out their total monthly expenditure.

• A. Rs. $12,000$
• B. Rs. $15,000$
• C. Rs. $10,000$
• D. Rs. $17,000$

Answer 1

The correct option is A Rs. $12,000$

Let A's salary $=x$
B's salary $=x-800$

Saving

$3200=\frac{1}{4}\left(\text{A salary}\right)+\frac{1}{6}\left(\text{B salary}\right)3200=\frac{1}{4}\left(x\right)+\frac{1}{6}(x-800)LCM=2424\left(3200\right)=6x+4(x-800)24\left(3200\right)=10x-320076800+3200=10x80000=10x$

$x=$A's salary $=$ Rs. $8000$

B's salary $=8000-800=$Rs. $7200$

Total salary $=Rs.15,200$

They save $=Rs3200$

Their expenses $=15,200-3,200=$ Rs. $12,000$