Question 82

An item is sold at two successive gains of 30% and 20%. If the final selling price is Rs 31200, then what is the cost price (in Rs)?

Solution

Let cost price = Rs. $$100x$$

After first profit of 30%, price = $$100x+(\frac{30}{100}\times100x)=Rs.$$ $$130x$$

After second profit of 20%, price = $$130x+(\frac{20}{100}\times130x)=Rs.$$ $$156x$$

According to ques,

=> $$156x=31200$$

=> $$x=\frac{31200}{156}=200$$

$$\therefore$$ Cost price = $$100\times200=Rs.$$ $$20,000$$

=> Ans - (B)


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