Question

A trader purchased some bicycles, The average price
per bicycle was 190. The average price of 10
bicycle was 175 and that of remaining bicycles it
was 200, find the number of bicycles purchased​

Answer 1

Answer:

answer is 205

bicycles

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Answer 2

Total bicycles = 25.

Given:

A trader purchased some bicycles, The average price per bicycle was 190. The average price of 10 bicycle was 175 and that of remaining bicycles it was 200.

To find:

Number of bicycles purchased

Solution:

Let the number of bicycles purchased be x,

We have to calculate total price of bicycles.

Total price of all bicycles = Average price of one bicycle * Total number of bicycle = 190 * x = 190x

Now, we have to calculate total price of 10 bicycles

Total price of 10 bicycles = Average price of 10 bicycles * 10

= 175 * 10 = 1750

Remaining bicycles = Total bicycles - 10

= x - 10

Now, we have to calculate price of remaining bicycles.

Price of remaining bicycles = Average of remaining bicycles * Remaining bicycles= 200 * x-10 = 200(x-10)

Now, we can calculate the value of x by forming an equation,

Total price of bicycles = Price of 10 bicycles + Price of remaining bicycles

190x = 1750 + 200(x-10)

190x = 1750 + 200x - 2000

190x = 200x - 250

200x - 190x = 250

10x = 250

x = 250/10 = 25

Hence, total number of bicycles is 25.

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