'A' sells a suitcase to 'B' at 10% profit. 'B' sells it to 'C' at 30% profit for Rs.2860. What is the cost price for 'A'?

'C' buys the suitcase for Rs. 2860.

'B' sells the suitcase to 'C' at 30% profit.

'A' sells the suitcase to 'B' at 10% profit.

Selling Price (SP) = $$\text{Cost Price (CP)} \times \left(1 +\frac{\text{ Profit}}{100} \right)$$​​

Rearranging for CP: CP = $${\text{SP}} \times \left(1 +\frac{\text{ Profit}}{100}\right)$$ 

​Let the cost price for B be Rs. X.
According to the question, B sells it to C at a 30% profit, and the selling price for C is Rs. 2860.
Selling price for C = Cost price for B + 30% of cost price for B
2860 = X + 0.30 × X
2860 = 1.30 ×X
X = 2860 / 1.30
X = Rs. 2200
Now, A sells the suitcase to B at a 10% profit.
Let the cost price for A be Rs. Y.
Cost price for B = Cost price for A + 10% of cost price for A
2200 = Y + 0.10 × Y
2200 = 1.10 × Y
Y = 2200 / 1.10
Y = Rs. 2000
Therefore, the cost price for A is Rs. 2000​