| An item was bought at Rs. X and sold at Y, thereby earning a profit of 20%. Had the value of X been 15% less and the value of Y been Rs. 76 less, a profit of 30% would have been earned. What was the value of X? |
A) Rs. 640
B) Rs. 400
C) Rs. 600
D) Rs. 800
E) Rs. 840
Correct Answer: D
Solution :
| Given, the CP of an item be Rs. x and SP of an item be Rs. y. |
| Here, Y = 1.2 x |
| If the CP of an item is 15% less = 85% of X = 0.85 X According to the question, |
| \[0.85X\times \frac{130}{100}=1.2x-76\] |
| \[11.05X=12X-760\]\[\Rightarrow \]\[12X-11.05X=760\] |
| \[\Rightarrow \] \[0.95X=760\] |
| \[\Rightarrow \] \[X=\frac{760}{0.95}\] |
| \[\Rightarrow \] \[X=800\] |
| So, CP of an item is Rs. 800. |
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