1.

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.1. Rs. 7022. Rs. 7003. Rs. 6804. Rs. 652

Answer» Correct Answer - Option 1 : Rs. 702

Given :

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

B's profit is Rs. 80 more than that of A

To find :

At what price D bought.

Formula used :

Selling price = cost price + profit

Selling price = cost price - loss

Solution :

Let A purchased at Rs. 100

⇒ A sold to B at a 20% profit = 100 × (120/100)

⇒ A sold to B at a 20% profit = 120

⇒ A's profit = 120 - 100

⇒ A's profit = 20     ----(1)

⇒ B sold to C at a 30% profit = 120 × (130/100)

⇒ B sold to C at 30% profit = 156

⇒ B's profit = 156 - 120

⇒ B's profit = 36     ----(2)

⇒ C sold to D at a 10% loss = 156 × (90/100)

⇒ C sold to D at a 10% loss = 140.4

From (1) and (2)

The difference in profit of B and A

⇒ B's profit - A's profit = 36 - 20

⇒ B's profit - A's profit = 16

So. 16x = 80

⇒ x = 5

⇒ D bought it for 140.4 × 5

∴ D bought it for Rs. 702.


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