Question

While buying books at a shop, Rahul was offered a discount of $10\%$ on the total cost. In total, he paid t $whichincludedthediscountedpriceand$6\%$salespriceonthediscountedprice.Calculatetheoriginalcostpriceofthebooks(In$).

• A. $\frac{t}{0.96}$
• B. $\left(0.9\right)\left(1.06\right)t$
• C. $\frac{t}{\left(0.9\right)\left(1.06\right)}$
• D. $0.96t$

Answer 1

Answer: (C)

$\frac{t}{\left(0.9\right)\left(1.06\right)}$

Let the original price of the books be x.$

Given $10\%$ discount, the discounted price becomes $90\%$ of $x$, i.e. 0.9x$

Now, $6\%$ of the discounted price is the sales tax, implying that

$t=0.9x+0.9x\times \frac{6}{100}$

$t=0.9x\left(1.06\right)$

$\Rightarrow x=\frac{t}{\left(0.9\right)\left(1.06\right)}$