The selling price of a book, including the sales tax, is ₹ 956.34. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the book is:
Let the cost price of the book = C
Sales tax = 10%
Price of the book with sales tax = $$\frac{110}{100}C$$
Profit = 15%
Selling price of the book = ₹ 956.34
$$\Rightarrow$$ $$\frac{115}{100}\times\frac{110}{100}C$$ = 956.34
$$\Rightarrow$$ $$C=\frac{956340}{115\times11}$$
$$\Rightarrow$$ $$C=\frac{86940}{115}$$
$$\Rightarrow$$ $$C=\frac{3780}{5}$$
$$\Rightarrow$$ $$C=756$$
$$\therefore\ $$Cost price of the book = ₹ 756
Hence, the correct answer is Option D
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