this ques. is on percentage..........................?

Question

A salesman's commision is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commision. Find the total sales.
Please help me in solving this questing and also if u can please describe.

Answer 1

Since his commission is 5% on all sales less than 10000 then he will have 500 commission and he will return 9500.
This leaves 21600 to account for. Since we know that he has taken 4% commission, it represents 96% of the amount above 10000.
So, 100% would be something like 100/96 * 21600 which will give us 22500.

We then need to add the initial 10000 to the above value and this brings our total sales to - 32500.

Answer 2

Commision = rate of commision x total sales
so 5% of 10000 = 5/100 x 10000 = Rs 500
remaining amount = 31,100 - 10,000 = 21,100
so 4% of 21,100 = 4/100 x 21,100 = 840
so total commision got = 840 + 500 = 1340
total rate = 5% + 4% = 9% . let total sales be y
so substitute it into the formula
1340 = 9% x y
1340 = 9 x y /100
1340(100) = 9y
1340(100) /9=9y/9
1340(100)/9 =y
14888.88 = y
so total sales = Rs 14888.9

Answer 3

he remits Sales - commission, so
31,100 = S - (5%•10,000) - (4%[S - 10,000])
31,100 = S - 500 - [.04S - 400]
31,100 = .96S - 100
31,200 = .96S
S = 32,500