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A sells a printer to B at a loss of 60% and B sells the printer to C at a profit of 25%. If C purchased the printer for ₹89,569 then what was the
Question

A sells a printer to B at a loss of 60% and B sells the printer to C at a profit of 25%. If C purchased the printer for ₹89,569 then what was the cost (in ₹) of the printer for A?​

A.

1,79,141

B.

1,79,140

C.

1,79,138

D.

1,79,134

Correct option is C

Given:

A sells to B at a loss of 60%

B sells to C at a profit of 25%

C's purchase price = ₹89,569

Solution:

Let A's cost price be x

Then selling price to B = 40% of x = 0.40x

B earns 25% profit:

So selling price to C = 1.25 × 0.40x = 0.50x

Now, 

x = 89,569

x = 89,5690.50\frac{89,569}{0.50}​​

x = 89,5690.50\frac{89,569}{0.50}​ = 1,79,138

A's cost price = ₹1,79,138 

Alternate Solution: 

50 unit = 89569 

100 unit = ₹1,79,138 

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