Question

A trader buys an article for Rs. 1,700 at a discount of 15% on its printed price. He raises the printed price of the article by 20% and then sells it for Rs. 2,688 including sales tax on the new marked price. Find:
(i) the rate of sales tax
(ii) the trader's profit as per cent.

• A. (i) $10$% (ii) $36\frac{1}{11}$%
• B. (i) $12$% (ii) $41\frac{3}{17}$%
• C. (i) $14$% (ii) $47\frac{5}{19}$%
• D. (i) $16$% (ii) $53\frac{7}{12}$%

Answer 1

Answer: (B)

(i) $12$% (ii) $41\frac{3}{17}$%

Let the printed price be Rs. x

$\therefore x-\frac{15x}{100}=1700$

$\Rightarrow \frac{85x}{100}=1700$

$\Rightarrow x=\frac{170000}{85}=Rs.2000$

Trader raises the printed price of the article by 20% then the cell price of the article$=2000+\frac{20}{100}\times 2000$

$\Rightarrow 2000+400=Rs.2400$

(i)The rate of the sales tax

Let the rate of the sales tax be y

Then according to the question

$\therefore 2400+\frac{y}{100}\times 2400=2688$

$\Rightarrow 24y=2688-2400$

$\Rightarrow 24y=288$

$\Rightarrow y=\frac{288}{24}=12$%

(ii)The trader profit percent

C.P=Rs.1700

S.P=Rs.2400

Profit$=2400-1700=Rs.700$

Profit%$=\frac{700}{1700}\times 100=41\frac{3}{17}$%