Questions & Answers

Question

Answers

(a) Rs. 40

(b) Rs. 30

(c) Rs. 50

(d) Rs. 60

Answer

Verified

128.4k+ views

We are given that the earning of A, B and C together is Rs. 300 per day. That is, we have, (A + B + C)’s one day earning as

\[A+B+C=Rs.300.......\left( i \right)\]

Also, we have that earning of A and C together is Rs. 188 for each day. So, we have,

\[A+C=Rs.188.......\left( ii \right)\]

Now, we will use (i) and (ii) to find the one day earning of B alone. Subtracting (ii) from (i), we get,

\[\left( A+B+C \right)-\left( A+C \right)=B\]

\[\Rightarrow B=Rs.300-Rs.188\]

\[\Rightarrow B=Rs.112\]

So, we get B’s alone per day earning Rs. 112.

We also have the per day earning of (B + C) as Rs. 152.

Therefore, we have,

\[B+C=Rs.152\]

Substituting the value of B in the above equation we get,

\[\Rightarrow Rs.112+C=Rs.152\]

\[\Rightarrow C=Rs.152-Rs.112\]

\[\Rightarrow C=Rs.40\]

So, we get the earning per day of C as Rs. 40.