Question 67

A purchased an article for ₹1400. He sold it to B at 25% profit. B sold it to C at 20% profit. C sold it to D at 15% loss. What is the cost price for D?

Solution

A purchased an article for ₹1400. He sold it to B at 25% profit.

Selling price for A = Cost price for B = 1400 of (100+25)%

= 1400 of 125%

= $$\frac{1400\times125}{100}$$

= ₹1750

B sold it to C at 20% profit.

Selling price for B = Cost price for C = 1750 of (100+20)%

= 1750 of 120%

= $$1750\times\frac{120}{100}$$

= 2100

C sold it to D at 15% loss.

Selling price for C = Cost price for D = 2100 of (100-15)%

= 2100 of 85%

= $$2100\times\frac{85}{100}$$

= 1785


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