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Dishonest Dealer A sells the goods to another Dealer B at Cost Price but he cheats him by using 50% less weight. Dealer B sells it to customer at a profit of 20%. If the price at which the customer purchases it Rs. 900. Find the Cost Price of the Product for Dealer A.

Dishonest Dealer A sells the goods to another Dealer B at Cost Price but he cheats him by using 50% less weight. Dealer B sells it to customer at a profit of 20%. If the price at which the customer purchases it Rs. 900. Find the Cost Price of the Product for Dealer A. Correct Answer Rs. 1,500

Given:

Customer Purchasing Price = Rs. 900

Profit % = 20%

Formula Used:

Cost Price = (Selling Price × 100)/(100 + Profit%)

Calculations:

Dealer B –

Sell product at the price = Selling Price = Rs. 900

Let Price at which dealer by the Product = CP

⇒ Cost Price = (Selling Price × 100)/(100 + Profit%)

⇒ Cost Price = (900 × 100)/(100 + 20)

⇒ Cost Price = (90000)/(120)

⇒ Cost Price = Rs. 750

Dealer A –

Dealer A sells the good at cost price but he gives 50% less weight.

It means that the if total weight is 100%, then 50% less weight will be 50%

∴ we can say that the cost of 50% weight is Rs. 750

50% Weight = Rs. 750      ----(1)

Multiply Eqn (1) by 2

⇒ 100% Weight = Rs. 750 × 2 = Rs. 1,500

The Cost Price of the Product for Dealer A is Rs. 1,500.

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