Need help solving this problem please.

Andrei buys a painting and sells it to Boris
Andrei makes a 60% profit on the sale
Boris sells the painting to Clarissa
Clarissa pays 1.5times the price that andrei paid for the painting
Boris made a loss

What is his loss as a % of the ammount he paid

show your work

Suppose A buys in $100

A sells it to B in 100 +(100 * 60/100) = $160
B sells it to C and pays 1.5 times the original price i.e. 100 * 1.5 = $150

Loss to B = 160-150 = $10

Loss percentage to B = (10/160)*100 = 6.25%

Thank you very much.

To solve this problem, we need to break it down step by step and calculate the necessary values.

Step 1: Determine the profit made by Andrei.
Let's assume the cost price of the painting for Andrei was 'C'.
As Andrei made a 60% profit on the sale, the selling price of the painting would be (C + 0.6C) = 1.6C.

Step 2: Determine the price paid by Clarissa.
Clarissa pays 1.5 times the price Andrei paid, so the price she paid would be (1.5 * 1.6C) = 2.4C.

Step 3: Determine the loss made by Boris.
Boris sells the painting for 2.4C, and if he made a loss, it means he sold it for less than the price he paid. Let's assume Boris paid 'B' for the painting.
Since Boris made a loss, the selling price (2.4C) would be less than the buying price (B). So, B > 2.4C.

Step 4: Calculate Boris's loss as a percentage of the amount he paid.
The loss made by Boris is (B - 2.4C).
To find the loss as a percentage of the amount he paid, we need to divide the loss by the amount he paid and multiply by 100.
Loss percentage = ((B - 2.4C) / B) * 100.

Keep in mind that we don't have the exact values for 'C' and 'B', so we can't calculate the loss percentage without these values.

Please provide the actual values for 'C' and 'B', and I can help you calculate the loss percentage.