Question

x
After purchasing a cereal from a wholesaler, a retailer fixed the selling price such that 4 kg is sold at the cost
price of 5 kg. but he later allowed a discount of x% so that there is neither any loss, nor any gain, from sales
of balance stock, what is x?​

Answer 1

Given :- After purchasing a cereal from a wholesaler, a retailer fixed the selling price such that 4 kg is sold at the cost price of 5 kg. but he later allowed a discount of x% so that there is neither any loss, nor any gain, from sales

of balance stock, what is x ?

Solution :-

given that,

→ SP of 4kg = CP of 5Kg .

Let the cost price be Rs.x

→ SP of 4kg = CP of 5kg = 5x

So,

→ SP of 1kg = (5x/4)

Clearly, since SP > CP, therefore there is profit.

So,

→ Profit % = (SP - CP) * 100 / CP

→ Profit % = {(5x/4) - x} * 100 / x

→ Profit % = (x * 100) / 4x

→ Profit % = 25% .

Now, we have given that, Discount of x % is given , than their is no profit no loss.

Therefore,

→ x = (25 * 100) / (100 + 25)

→ x = (25 * 100) / 125

→ x = 20% (Ans.)

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