奥马尔在交通上花了他月薪的 1/7 还多 $\char36{}162$。他在食品杂货上花了他剩余薪水的 1/6 还少 $\char36{}40$。他在食品杂货上花了 $\char36{}968$。 他把剩下的钱存了起来。

1. Find the value of $\frac{1}{6}$ of the remaining salary

$\frac{1}{6}$ of remaining salary $= \char36{}968 + \char36{}40 = \char36{}1008$

2. Find the remaining salary after transport

Remaining salary $= \char36{}1008 \times 6 = \char36{}6048$

3. Calculate the amount saved

Savings $= \text{Remaining salary} - \text{Groceries} = \char36{}6048 - \char36{}968 = \char36{}5080$

1. Find the value of 1/6 of the remaining salary

Let $R$ be the remaining salary after transport.
Omar spent $\char36{}40$ less than $\frac{1}{6}$ of $R$ on groceries.
So, $\frac{1}{6}R - 40 = 968$
$\frac{1}{6}R = 968 + 40 = 1008$

2. Find the remaining salary after transport

$R = 1008 \times 6 = 6048$

3. Find the value of 6/7 of the monthly salary

Let $S$ be the monthly salary.
Transport spending = $\frac{1}{7}S + 162$
Remaining salary $R = S - (\frac{1}{7}S + 162) = \frac{6}{7}S - 162$
So, $\frac{6}{7}S - 162 = 6048$
$\frac{6}{7}S = 6048 + 162 = 6210$

4. Find the total monthly salary

$\frac{1}{7}S = 6210 \div 6 = 1035$
$S = 1035 \times 7 = 7182$

1. Determine Omar's monthly salary from part (b)

From part (b), Omar's monthly salary is $\char36{}7600$.

2. Convert 1 1/4 years to months

$1 \frac{1}{4} \text{ years} = 1.25 \times 12 = 15 \text{ months}$

3. Calculate the total salary in 1 1/4 years

$\text{Total salary} = 15 \times 7600 = \char36{}114000$