Ram bought a cell phone and paid 30% less than its original price. He sold it at 50% profit on the price he had paid. The percentage of profit earned by Ram on the original price was:

Correct option is D

Given:

Paid 30% less than the original price.
Sold at 50% profit on the paid price.

Formula Used:

Profit Percentage = $$\frac{ Profit }{Original\ Price } × 100$$​​

Solution:

Let the original price be P.
- Paid price = P - 0.3P = 0.7P.
- Sold at 50% profit:
- Selling price = 0.7P + 0.35P = 1.05P.
- Profit = Selling price - Original price:
- Profit = 1.05P - P = 0.05P.
- Profit Percentage = $$\frac{ 0.05P }{ P}× 100 = 5$$​​

Alternate Method:

- Original CP = 100%
- SP = 70%
- SP2 = 150% of SP
- = 105%
- Profit on original CP = 105% - 100%
- = 5%