Question

Andrew sells a lawnmower to Dennis at 30% loss. If Dennis fixes it up and sells it for $600 and gains 20% what was the price Andrew originally bought it for?​

Answer 1

Step-by-step explanation:

Let, Andrew originally bought the lawnmower for $x.

For Andrew:

C.P. = $x

Loss = 30%

Then S.P. = $ x (1 - 30/100) = $ 70x/100 = $ 7x/10

For Dennis:

C.P. = $ 7x/10

Profit = 20%

Then S.P. = $ 7x/10 (1 + 20/100) = $ 21x/25

Given condition:

According to the given condition,

• 21x/25 = 600
• or, x = 600 × 25/21
• or, x = 5000/7

Answer:

Thus Andrew originally bought the lawnmower for $ 5000/7.