A trader marked a table at ₹37,062, and sold it allowing a 33% discount. If his profit was 42%, then the cost price (in ₹) of the table was:
- A15,487
- B16,487
- C17,487
- D13,487
Solution & Step-by-step Explanation
We can use the direct formula connecting Cost Price (CP) and Marked Price (MP):
MP
CP
=
100+Profit%
100−Discount%
Given data:
MP=₹37,062
Discount%=33%
Profit%=42%
Substitute the values into the formula:
37062
CP
=
100+42
100−33
37062
CP
=
142
67
CP=
142
67
×37062
Let's simplify 37062/142:
37062÷142=261
Now, multiply by 67:
CP=67×261=₹17,487
MP
CP
=
100+Profit%
100−Discount%
Given data:
MP=₹37,062
Discount%=33%
Profit%=42%
Substitute the values into the formula:
37062
CP
=
100+42
100−33
37062
CP
=
142
67
CP=
142
67
×37062
Let's simplify 37062/142:
37062÷142=261
Now, multiply by 67:
CP=67×261=₹17,487