Let's work through the problem step by step:
Let's say Maina's net salary is represented by x.
Maina spent 1/3 of his net salary on school fees, which is (1/3)x.
This means he had 2/3 of his net salary left.
He then spent 1/4 of the remainder on rent, which is (1/4)(2/3)x = (2/12)x.
This means he had 10/12 or 5/6 of his net salary left.
He then spent 1/8 of what was left on transport, which is (1/8)(5/6)x = (5/48)x.
This means he had 43/48 of his net salary left.
Finally, we know that he had sh.4200 left, so we can set up the following equation:
(43/48)x = 4200
To solve for x, we can multiply both sides of the equation by 48/43:
(43/48)x * (48/43) = 4200 * (48/43)
x = 4800
Therefore, Maina's net salary is sh.4800.
Maina spent 1/3 of his net salary on school fees. He spent ¼ of the remainder on rent he then spent 1/8 of
what was left on transport .If finally, he had sh.4200 what was his net salary.
1 answer