Question

What will be the single discount equivalent to two successive discounts of 25%and 24%s?

Answer 1

Answer:

Step-by-step explanation:

Total discount = ( x + y - xy / 100 ) %  

=25+24 - 25*24/100

=43%

Answer 2

The single discount equivalent to two successive discounts of 25% and 24% is 43%

Given :

Two successive discounts of 25%and 24%

To find :

The single discount equivalent to two successive discounts of 25% and 24%

Solution :

Step 1 of 2 :

Calculate total discount

Let marked price = Rs. 100m

After first discount of 25% the price becomes

$\displaystyle \sf = Rs. \: 100m \times \frac{(100 - 25)}{100}$

$\displaystyle \sf = Rs. \: 100m \times \frac{75}{100}$

$\displaystyle \sf = Rs. \: 75m$

Now after second discount of 24% the price becomes

$\displaystyle \sf = Rs. \: 75m \times \frac{(100 - 24)}{100}$

$\displaystyle \sf = Rs. \: 75m \times \frac{76}{100}$

$\displaystyle \sf = Rs. \: 57m$

So total discount after two successive discounts of 25% and 24%

= Rs. 100m - Rs. 57m

= Rs. 43m

Step 2 of 2 :

Calculate single discount equivalent to two successive discounts of 25% and 24%

Hence single discount equivalent to two successive discounts of 25% and 24%

$\displaystyle \sf =\frac{Total \: discount }{Marked \: price } \times 100\%$

$\displaystyle \sf = \frac{43m}{100m} \times 100\%$

$\displaystyle \sf = \frac{43}{100} \times 100\%$

$\displaystyle \sf = 43\%$

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