Question : A sold an item to B at a 20% gain, and B sold it to C at an 8% gain. C sold it to D at a 25% loss. If the difference between the profits of A and B is INR 260, then D bought it for:
Option 1: INR 2,268
Option 2: INR 2,430
Option 3: INR 2,200
Option 4: INR 2,480
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Correct Answer: INR 2,430
Solution :
Let the cost price be 100$x$.
Cost price of B = Selling price of A = $100x × \frac{120}{100} = 120x$
Profit of A $= 120x - 100x = 20x$
Cost price of C = Selling price of B = $120x × \frac{108}{100} = 129.6x$
So, Profit of B $= 129.6x - 120x = 9.6x$
Difference of profits of A and B $= 20x - 9.6x$
⇒ $260 = 10.4x$
⇒ $x= 25$
Cost price of D = Selling price of C $=129.6x × \frac{75}{100} = 97.2x = 97.2 × 25 =$ INR $2430$
Hence, the correct answer is INR 2430.
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