Question 7

If price of the table is increased by 25%, then a person can buy 25 tables less for Rs.25000. What is the original price (in Rs) of the table?

Solution

Let price of a table = Rs. $$100x$$

Number of tables bought for Rs. 25,000 = $$\frac{25000}{100x}=\frac{250}{x}$$

New price of table = $$100x+(\frac{25}{100}\times100x)=Rs.$$ $$125x$$

Number of tables bought for Rs. 25,000 = $$\frac{25000}{125x}=\frac{200}{x}$$

According to ques,

=> $$\frac{200}{x}+25=\frac{250}{x}$$

=> $$\frac{250}{x}-\frac{200}{x}=25$$

=> $$\frac{50}{x}=25$$

=> $$x=\frac{50}{25}=2$$

$$\therefore$$ Original price = $$2\times100=Rs.$$ $$200$$

=> Ans - (C)


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