The employees of a company are offered an increase in salary.
Employees have the option to choose from either Scheme A or Scheme B. Scheme A offers an increase of 8% of the current monthly salary.
Scheme B offers an increase of 5% of the current monthly salary plus an additional $87 per month. Mr Lim claims that his new monthly salary would be the same under either scheme. Calculate his current monthly salary. Answer $ ... The company has a total of $1.19\times10^5$ employees.
The ratio of employees who opted for Scheme A to Scheme B is 7 : 3.
How many more employees choose Scheme A over Scheme B?
Leave your answer in standard form. Answer ... Mdm Ang worked for a company in Germany from 2018 to 2019.
In 2018, her monthly salary was €3500 and the exchange rate between Singapore Dollars ($) and Euro (€) then was $1 = €0.67. Mdm Ang received a pay cut in 2019, but she still earns the same amount of salary in Singapore dollars. The exchange rate between Singapore Dollars ($) and Euro (€) in 2019 was $1 = €0.61. Calculate her monthly salary in Singapore Dollars ($) for 2018. Answer $... What is the percentage change in her salary for 2019? Answer ...%

1. Represent the new monthly salary under each scheme and equate them.

Let the current monthly salary be $ $x$.

Scheme A new salary: $x+8\%\text{ of }x=1.08x$

Scheme B new salary: $x+5\%\text{ of }x+87=1.05x+87$

Since the new monthly salary is the same,
$1.08x=1.05x+87$

2. Solve the linear equation for the current monthly salary.

$1.08x-1.05x=87$
$0.03x=87$
$x=\frac{87}{0.03}=2900$

1. Find the fraction of the total employees represented by the difference between Scheme A and Scheme B.

Ratio A : B $= 7 : 3$

Difference in ratio parts $= 7-3=4$

Total ratio parts $=7+3=10$

Fraction more choosing Scheme A $=\dfrac{4}{10}$

2. Calculate the difference in number of employees and write it in standard form.

Total employees $=1.19\times10^5$

Number more choosing Scheme A
$=\dfrac{4}{10}\times 1.19\times10^5$
$=0.476\times10^5$
$=4.76\times10^4$

1. Convert the monthly salary from Euros to Singapore Dollars using the exchange rate.

Since $\char36{}1 = €0.67$,

$€3500 = \$\left(3500 \div 0.67\right)$

$3500 \div 0.67 = 5223.880\ldots$

Monthly salary in Singapore Dollars $= \char36{}5223.88$

1. Find her 2019 monthly salary in Euros, using the same Singapore-dollar salary from 2018.

From part (b)(i), her salary in Singapore dollars is
$\$5223.88.$
In 2019, $\char36{}1=€0.61$, so
$\text{2019 salary}=5223.88\times0.61=€3186.5668.$

2. Find the decrease in salary in Euros from 2018 to 2019.

Her 2018 monthly salary was $€3500$.
$\text{Decrease}=3500-3186.5668=€313.4332.$

3. Calculate the percentage change relative to the 2018 salary.

$\text{Percentage decrease}=\frac{313.4332}{3500}\times100\%=8.955\ldots\%$
$\approx 8.96\%$