| A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170? [NICL (AO) 2014] |
A) Rs. 200
B) Rs. 220
C) Rs. 240
D) Rs. 260
E) Rs. 280
Correct Answer: C
Solution :
| \[SP\,\,=\,\,\frac{(100+20)\times 170}{100}=\frac{120\times 17}{10}=Rs.\,204\] |
| Now, marked price \[-15\]% of marked price = SP |
| Let marked price be Rs. x. |
| Thus, \[x-\frac{x\times 15}{100}=204\] |
| \[\Rightarrow \] \[\frac{85x}{100}=204\] |
| \[\Rightarrow \]\[x=\frac{204\times 100}{85}=\frac{204\times 20}{17}=12\times 20=240\] |
| \[\therefore \] Marked price = Rs. 240 |
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