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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.
Solution
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%
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