The cost price and selling price of rice are the same. Due to a faulty weighing machine, the seller earns a 15% profit. If Rs.x is the cost price of 1000gm rice and the machine is changed which shows 1000gm instead of 950gm, what should be the selling price (in ₹) now to get the same percentage of profit?

The seller earns a 15% profit due to a faulty weighing machine.

The faulty machine shows 950 grams as 1000 grams.

The cost price (CP) for 1000 grams of rice is Rs. xxx.

Profit Percentage Formula:$$\text{Profit \%} = \frac{\text{Selling Price (SP)} - \text{Cost Price (CP)}}{\text{CP}} \times 100$$​

As per the question;

The seller is actually selling 950 grams of rice but charges for 1000 grams.

The effective cost price for 950 grams is

​$$x \times \frac{950}{1000} = 0.95x$$​​

Selling price (SP) with the faulty machine,

the seller earns a 15% profit, the selling price based on 950 grams should be:

​$$\text{SP}_{\text{faulty}} = 0.95x \times \left(1 + \frac{15}{100}\right) = 0.95x \times 1.15 = 1.0925x$$