Question

what is the approximate single equivalent discount for the series of discounts of 24% ,12%,3% ?​

Answer 1

Answer:

Ist step

-24-12+24x12/100

-36+2.88=-33.12

2nd step

-33.12-3+33.12x3/100

-36.12+0.9936

= -35.1264=~-35

single disc=35%

Answer 2

The approximate single equivalent discount is 64.87%.

Step-by-step explanation:

When a buyer buys a certain product at an original price which is commonly known as the marked price, there are some cases where some amounts are deducted from the selling price of the same item to lessen the selling price of that item. These amounts are represented as percentages and are known as discounts.

According to the given information, the series of discounts are 24% , 12% and 3%. Now, we need to find the approximate single equivalent discount for the given series of discounts.

Now, let the marked price be Rs. 100.

Now, if Rs. 100 is the marked price, the selling price is for Rs. (100 - 24)% which is equal to 76% of 100, when the discount is 24%.

Now, if Rs. 100 is the marked price, the selling price is for Rs. (100 - 12)% which is equal to 88% of 100, when the discount is 12%.

Now, if Rs. 100 is the marked price, the selling price is for Rs. (100 - 3)% which is equal to 97% of 100, when the discount is 3%.

Thus, the total selling price is equal to 76% of 12% of 97% of 100.

Then, we get,

$(\frac{76}{100} *\frac{88}{100}*\frac{97}{100}*100)$ %

=64.8736 % which is approximately equal to 64.87%.

Thus, the approximate single equivalent discount is 64.87%.

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