| A trader marks his product 30% above cost price. He sells the product and allows 10% trade discount. In order to ensure prompt payment he further gives cash discount of 10%. If he makes Rs. 106 profit from the transaction. Find the cost price of the product |
A) Rs. 1800
B) Rs. 2000
C) Rs. 1600
D) Rs. 2400
Correct Answer: B
Solution :
(b)| Let the \[CP=x,\]\[MP=\frac{130x}{100}=\frac{13x}{10}\] |
| We gives, two successive discounts of 10% and 10% on \[\frac{13x}{10}.\] |
| \[\therefore \]\[SP=\frac{90}{100}\times \frac{90}{100}\times \frac{13x}{10}=\frac{1053x}{1000}\] |
| \[\because \] Gain = Rs. 106 |
| \[\therefore \]\[\left( \frac{1053x}{1000}-x \right)=106\]\[\Rightarrow \]\[\frac{53x}{1000}=106\] |
| \[\Rightarrow \]\[x=\frac{106\times 1000}{53}\]\[\Rightarrow \]\[x=\text{Rs}\text{. 2000}\] |
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