Question

The difference between a discount of
50% and two successive discounts of 30%
and 30% on a certain bill was Rs.200. Find
the amount of the bill.

● Rs. 20000
● Rs. 40000
● Rs. 36000
● Rs. 12000​

Answer 1

1,08,000

Step-by-step explanation:

20000+40000+36000+12000=1,08,000

Answer 2

Answer:

⇒ The amount of the bill 20000

Step-by-step explanation:

Given data  

The difference between a discount of 50% and two successive discounts of 30% and 30% on a bill is Rs.200

here we need to find the initial amount

Let x be the total amount

discount of 50% of x = $\frac{50}{100} (x)$ = $\frac{1}{2} x$  

⇒ after 50%, bill = $x - \frac{1}{2} x$  = $\frac{2x-x}{2}$ = $\frac{x}{2}$  

 discount of 30 % of x = $\frac{30 }{100} x$ = $\frac{3x}{10}$    

⇒ after 30%, bill = $x-\frac{3x}{10}$  = $\frac{10x - 3x}{10}$  = $\frac{7x}{10}$  

 discount of 30%  $\frac{7x}{10}$ = $\frac{30}{100} (\frac{7x}{10})$  = $\frac{21x}{100}$    

⇒ after 30%, bill = $\frac{7x}{10} - \frac{21x}{100}$ =$\frac{70x -21x }{100}$ = $\frac{49x}{100}$  

⇒ from given data $\frac{x}{2} - \frac{49x}{100} = 200$

                              $\frac{100x - 98x }{200} =200$

                                $2x = 40000$  

                                x = 20000

⇒ The amount of the bill 20000