| A sells an item at 20% profit to B. B sells it to C at 10% profit. C sells it to D at Rs. 16 profit. Difference between the cost price of D and cost price of A was Rs. 500. How much did B pay to A for the item? |
A) Rs. 1240
B) Rs. 1815
C) Rs. 1440
D) Rs. 1450
E) Rs. 1400
Correct Answer: B
Solution :
| Let cost price of A be x. |
| Selling price for \[A=x+\frac{20}{100}x\] |
| \[=\frac{120x}{100}\]= cost price for B |
| Selling price for \[B=\frac{120x}{100}+\left( \frac{10}{100} \right)\,\,\left( \frac{120x}{100} \right)\] |
| \[=\frac{132x}{100}=CP\,\text{for}\,C\] |
| Selling price for \[C=\frac{132x}{100}+16=CP\,\text{for}\,D\] |
| According to the question, |
| \[\left( \frac{132x}{100}+16 \right)-(x)=500\] |
| \[\Rightarrow \] \[\frac{132x+1600-100x}{100}=500\] |
| \[\Rightarrow \] \[32x=500\times 100-1600\] |
| \[\Rightarrow \] \[x=\frac{50000-1600}{32}=\frac{48400}{32}=\frac{12100}{8}\] |
| \[\therefore \] Cost price for |
| \[B=\frac{120\times x}{100}=\frac{120}{100}\times \frac{12100}{8}=Rs.\,1815\] |
You need to login to perform this action.
You will be redirected in
3 sec
