Question

A sum of money is sufficient to pay $A^{\prime }s$ wages for $21$ days and $B^{\prime }s$ wages for $28$ days. The same money is sufficient to pay the wages of both for __________.

• A. $12days$
• B. $12\frac{1}{4}days$
• C. $14days$
• D. $24\frac{1}{2}days$

Answer 1

The correct option is A $12days$

Let the money be $x$

A's per day wage$=x/21$

B's per day wage$=x/28$

(A+B)'s per day wage$=\left(x/21\right)+\left(x/28\right)$$=x/12$

No. of days (A+B)'s wage can be payed with amount $x=\frac{x}{x/12}=12$