Question

Mr. Jha purchased a bicycle costing Rs 55,600 from a dealer at 5 % discount and

sold at a profit of 10 %. If he had sold it at 5 % discount, find its marked price.

Answer 1

To find the marked price of the bicycle, we need to calculate the selling price and then find the cost price.

Step-by-step explanation:

To find the marked price, we first need to calculate the selling price of the bicycle. Mr. Jha purchased the bicycle at 5% discount, so the selling price will be 100% - 5% = 95% of the cost price. Therefore, the selling price is 95% of Rs 55,600, which is Rs 55,600 * 0.95 = Rs 52,820.

Now, we know that he sold the bicycle at a profit of 10%. To calculate the marked price, we need to find the cost price. Let's assume the cost price is Rs x. A profit of 10% means the selling price is 110% of the cost price. So, we can set up the equation: Rs 52,820 = 110% of x, or Rs 52,820 = 1.1x.

To find x, we divide both sides of the equation by 1.1: x = Rs 52,820 / 1.1 = Rs 48,020.

Therefore, the marked price of the bicycle is Rs 48,020.