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Sanjay sells a book to Harshit, making an 11% profit. Harshit then sells the book to Anil for a 12% profit. If Anil paid Rs.12,432 for the book, what
Question

Sanjay sells a book to Harshit, making an 11% profit. Harshit then sells the book to Anil for a 12% profit. If Anil paid Rs.12,432 for the book, what was the original price Sanjay paid for it?

A.

Rs. 10000

B.

Rs. 11000

C.

Rs. 12000

D.

Rs. 10500

Correct option is A

Given:
Sanjay's profit = 11%
Harshit's profit = 12%
Final price paid by Anil = Rs. 12432
Formula Used:
Final Price = Initial Price × (1+Profit1100)×(1+Profit2100)(1 + \frac{Profit_1}{100}) × (1 + \frac{Profit_2}{100})​​
Solution:
Let the original price paid by Sanjay be x.
According to the successive profit formula:
x×111100×112100=12432x × \frac{111}{100} × \frac{112}{100} = 12432​​

x=12432×100×100111×112x = \frac{12432 × 100 × 100}{111 × 112}​​

x=12432000012432x = \frac{124320000}{12432}​​

x = 10000
Final Answer
So the correct answer is (a)

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