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Q.

The difference between a discount of 35% and two successive discounts of 20% on a certain bill was 22. Find the amount of the bill.


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a

200

b

1100

c

2200

d

1000

answer is C.

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Detailed Solution

Concept- First, it finds the specified 20% percentage streak discount and calculates the total bill  after  discount. Then  calculate a 35% discount  on the bill. Observe the difference between them and then use the unit method to find the amount charged. Start with the fact that the total invoice amount is x. Then find the amounts that correspond to two successive discounts of 20% and 20%, respectively. Also note that these discounts are related to the  amount billed
Find the invoice amount after the first Question Imagediscount on the invoice amount, and  let the invoice amount be Question ImageThis is because we need to determine the bill amount after the 20% discount on the total amount.
Question ImageLet's find the bill  after the second Question Imageon the bill  which is Rs. 80 now.
Question ImageTotal discount
Question ImageWe go further and calculate a 35% discount  on the total bill. This is 100.
Question Imagethe value of x using the unitary method. If the total invoice amount is 100, you can see that there is a difference of Rs. 1. Therefore, we need to find the value of x whose difference is Rs. twenty two
 You can get the value of x using the unit method. This is because if the difference is 1, the invoice is 100. So if the difference is 22, the bill would be:
 so we get
Question ImageHence, the correct answer is option (3) .
 
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