Question

after enjoying two successive discounts of 30% each.a person paid 441 for an article.if there would have been only one successive discount of 30% how much additional amount would he have paid

Answer 1

he would have paid 294 amount extra
hope this answer works and helps you

Answer 2

The additional amount to be paid if there would have been only one successive discount of 30% is Rs. 189.

Given: After availing two successive discounts of 30% each, a person paid Rs. 441 for an article.

To Find: The additional amount to be paid if there would have been only one successive discount of 30%

Solution:

Let actual price of the article be = Rs. x

Discount after appying 1st discount = Rs. 30x/100

Amount to be paid after first discount = Rs. ( x - 30x/100)

                                                                  = Rs.  70x / 100

Discount after applying second discount = Rs. ( 30 × 70x )/( 100 × 100 )

                                                                       = Rs. 21x / 100

Amount to be paid after second discount = Rs. ( (70x / 100) - (21x/100) )

                                                                        = Rs. 49x / 100

According to the problem,

    49x / 100 = 441

⇒  x = Rs. 900

So, Amount to be paid after first discount = Rs. 70x / 100

                                                                         = Rs. (70 × 900)/100

                                                                         = Rs. 630

Now, additional amount to be paid = Rs. (630 - 441)

                                                             = Rs. 189

Hence, the additional amount to be paid if there would have been only one successive discount of 30% is Rs. 189.

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