A salesman makes a commission of x percent on the first Rs 2,000 worth of sale in any given - Maths - Comparing Quantities

Question

A salesman makes a commission of x percent on the first Rs 2,000
worth of sale in any given month and y percent on all further sales
during that month If he makes Rs 700 from Rs 4,000 of sales in
October
and he makes Rs 900 from Rs 5,000 of sales in November, what
is the value of x ?

Santosh Kumar · Accepted Answer

For the month of October:

Commission made by the salesman = Rs. 700

$\Rightarrow 2000 \times \frac{x}{100} + 2000 \times \frac{y}{100} = 700 \Rightarrow 20 x + 20 y = 700 \Rightarrow x + y = 35 \Rightarrow y = 35 - x ... (i)$

For the month of November:

Commission made by the salesman = Rs. 900

$\Rightarrow 2000 \times \frac{x}{100} + 3000 \times \frac{y}{100} = 900 \Rightarrow 20 x + 30 y = 900 \Rightarrow 2 x + 3 y = 90 ... (ii)$

Substituting value of (i) in (ii),

$2 x + 3 (35 - x) = 90 \Rightarrow 2 x + 105 - 3 x = 90 \Rightarrow - x = 90 - 105 \Rightarrow - x = - 15 \Rightarrow x = 15$

∴ value of x = 15

Commission made by the salesman on the first Rs. 2000 = x% = 15%

A salesman makes a commission of x percent on the first Rs. 2,000 worth of sale in any given month and y percent on all further sales during that month. If he makes Rs. 700 from Rs. 4,000 of sales in October and he makes Rs. 900 from Rs. 5,000 of sales in November, what is the value of x ?

A salesman makes a commission of x percent on the first Rs. 2,000 worth of sale in any given month and y percent on all further sales during that month. If he makes Rs. 700 from Rs. 4,000 of sales in October

and he makes Rs. 900 from Rs. 5,000 of sales in November, what is the value of x ?