The prices of three items are ₹120, ₹150 and ₹180. On these items, respectively, 20%, 10% and 5% profits are earned. The overall profit on the items is ___%.

Correct option is D

Given:

Cost Price of Item A = ₹120, Profit = 20%

Cost Price of Item B = ₹150, Profit = 10%

Cost Price of Item C = ₹180, Profit = 5%

We are to find the overall profit percentage on all three items combined.

Formula Used:

Profit % =$$\left( \frac{\text{Total Profit}}{\text{Total CP}} \right) \times 100$$​

Solution:

Item A:

SP = 120 + (20% of 120) = 120 + 24 = ₹144

Item B:

SP = 150 + (10% of 150) = 150 + 15 = ₹165

Item C:

SP = 180 + (5% of 180) = 180 + 9 = ₹189

Total CP = ₹120 + ₹150 + ₹180 = ₹450

Total SP = ₹144 + ₹165 + ₹189 = ₹498

Profit = 498 - 450 = ₹48

Profit % =$$\left( \frac{48}{450} \right) \times 100 = 10\frac 23\%$$​​