Question

Three cars were sold through an agent for Rs 1,60,000, Rs1,48,000 and Rs 1,50,000 respectively. The rates of commission were 17 .5% on the first, and 12.5% on the second. If on the whole, the agent received 14% commission on the total sales, find the rate of commission paid on the third car.

Answer 1

Commission on 1st car = `17.5/100 xx 1,60,000`
                                     = Rs 28,000

Commission on 2nd car = `12.5/100 xx 1,48,000`
                                     = Rs 18,500

Let the commission earned on the 3rd car is .x%

Commission on 3rd  car = `x/100 xx 1,50,000`
                                     = Rs 1,500 x

Total commission recieved is 14%

Total commission

= `14/100` (1,60,000 + 1,48,000 + 1,50,000)

= 64,120

Now Total commission = 
Commission on 1st car + commission on 2nd car + commission on 3rd car

64,120 = 28,000 + 18,500 + 1,500x

17,620 = 1,500x

x = 11.74%

So, rate of commission on 3rd car is 11.74%