| A buys an article and sells it to B at a profit of 10%, B sell it to C gaining 20% and C pays Rs. 1848 for the article. Find the cost price for A. |
A) Rs. 1400
B) Rs. 1428
C) Rs. 1560
D) Rs. 1540
Correct Answer: A
Solution :
| Let the CP for \[\text{A}=\text{Rs}\text{. }x\text{ }\] |
| Cost price (CP) for\[\text{B}=\frac{100+10}{100}\times x=\frac{110}{100}\times x\] |
| Cost price (CP) for \[\text{C}=\frac{120}{100}\times \frac{110}{100}x\] |
| Since, C pays Rs. 1848 for the article |
| \[\therefore \] \[\frac{120}{100}\times \frac{110}{100}\times x=1848\] |
| \[\Rightarrow \] \[x=\frac{1848\times 100\times 100}{120\times 110}\]\[\Rightarrow \]\[x=\text{Rs}\text{. 1400}\] |
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