The cost of manufacture of a tape recorder is 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is

Answer : Option D

Explanation :

Marked price of tape recorder $=\frac{1500 \times 120}{100}$ $=$ Rs. 1800 Gain $=\frac{1500 \times 8}{100}=$ Rs. 120 Discount $=1800-(1500+120)=$ Rs. 180 $\therefore$ Discount per cent $=x \%$, then $\frac{1800 \times x}{100}=180$ $\Rightarrow x=10 \%$

If the discount be $x \%$, then $20-x-\frac{20 x}{100}=8$

$\Rightarrow 20-\frac{6 x}{5}=8$

$\Rightarrow \frac{6 x}{5}=20-8=12 \Rightarrow x=\frac{12 \times 5}{6}=10 \%$