CIE/GCE/AS/Math/P1/20/Mar/12/Q#8
Question
A woman’s basic salary for her first year with a particular company is $30000 and at
the end of the year she also gets a bonus of $600.
a) For her first year, express her bonus as a percentage of her basic salary.
At the end of each complete year, the woman’s basic salary will increase by 3% and
her bonus will increase by $100.
b) Express the bonus she will be paid at the end of her 24th year as a percentage of
the basic salary paid during that year.
Solution
From the given information, we can collect following information.
The basic salary for her first year;
𝑆𝑎𝑙𝑎𝑟𝑦 𝑓𝑜𝑟 𝐹𝑖𝑟𝑠𝑡 𝑌𝑒𝑎𝑟 = 30000
The bonus at the end of first year;
𝐵𝑜𝑛𝑢𝑠 𝑓𝑜𝑟 𝐹𝑖𝑟𝑠𝑡 𝑌𝑒𝑎𝑟 = 600
a)
Her bonus as percentage of her salary;
𝑥% 𝑜𝑓 30000 = 600
𝑥
× 30000 = 600
100
Question
A woman’s basic salary for her first year with a particular company is $30000 and at
the end of the year she also gets a bonus of $600.
a) For her first year, express her bonus as a percentage of her basic salary.
At the end of each complete year, the woman’s basic salary will increase by 3% and
her bonus will increase by $100.
b) Express the bonus she will be paid at the end of her 24th year as a percentage of
the basic salary paid during that year.
Solution
From the given information, we can collect following information.
The basic salary for her first year;
𝑆𝑎𝑙𝑎𝑟𝑦 𝑓𝑜𝑟 𝐹𝑖𝑟𝑠𝑡 𝑌𝑒𝑎𝑟 = 30000
The bonus at the end of first year;
𝐵𝑜𝑛𝑢𝑠 𝑓𝑜𝑟 𝐹𝑖𝑟𝑠𝑡 𝑌𝑒𝑎𝑟 = 600
a)
Her bonus as percentage of her salary;
𝑥% 𝑜𝑓 30000 = 600
𝑥
× 30000 = 600
100
