A sold a watch to B at a profit of 20%. B sold it to C at 30% profit. C sold it to D at 10% loss. If B's profit is Rs 80 more than that of A, then D bought it for:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs 702
Concept Used
Selling price = cost price + profit
Selling price = cost price - loss
Application
Let the C.P of the article for A = Rs. 100x
A sells to B at a profit of 20%
Selling Price of A = 100 x 120 / 100 = Rs 120x
Profit of A = 120 - 100 = 20x
B sold this to C at a profit of 30% = 120 x 130 / 100 = Rs.156x
Profit of B = 156 - 120 = 36x
C sold this to D at a loss of 10% = 156 x 90 /100 = 140.4x
Difference Between B's profit and A's profit = 36x - 20x = Rs 80
16x = 80
x = 5
Cost Price for D = 140.4 x 5 = Rs. 702