A vegetable dealer buys 50 carrots for ₹36, and sells 36 carrots for ₹50. His profit percentage (correct to one decimal place) is:
- A66.90%
- B87.70%
- C92.90%
- D74.90%
Solution & Step-by-step Explanation
To compare easily, let's find the cost price and selling price for a uniform number of carrots, say LCM(50,36)=900 carrots, or we can look at the price per unit:
Cost Price (CP) of 1 carrot =
50
36
=₹0.72
Selling Price (SP) of 1 carrot =
36
50
=₹1.3889
Alternatively, using cross-multiplication for quick calculation:
Ratio of CP to SP=(36×36):(50×50)=1296:2500
Profit=2500−1296=1204
Profit Percentage=
CP
Profit
×100=
1296
1204
×100≈92.901%
Rounding correct to one decimal place, we get 92.9%.
Cost Price (CP) of 1 carrot =
50
36
=₹0.72
Selling Price (SP) of 1 carrot =
36
50
=₹1.3889
Alternatively, using cross-multiplication for quick calculation:
Ratio of CP to SP=(36×36):(50×50)=1296:2500
Profit=2500−1296=1204
Profit Percentage=
CP
Profit
×100=
1296
1204
×100≈92.901%
Rounding correct to one decimal place, we get 92.9%.