a publisher supplies 24 copies for every 20 copies ordered and also a cash discount of 5% what is the net value of discount
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Given :- A publisher supplies 24 copies for every 20 copies ordered and also a cash discount of 5% what is the net value of discount ?
Solution :-
it has been given that, the publisher supplies 24 copies for every 20 copies .
so,
→ Extra copies given = 24 - 20 = 4 copies.
and,
→ Total copies the buyer received = 24
then,
→ Discount given = (Extra copies * 100) / (Total copies received)
→ Discount the buyer received in first case = (4 * 100) / 24 = (50/3) % .
Now, we have given that, cash discount of 5% is also given to the buyer .
and, we have to find the successive discount . we know that,
- D = - A - B + (AB/100) { where A and B are individual discount.)
and, now we have values of both A and B which are :-
- A = (50/3)
- B = 5
Putting both values we get,
→ D = (-50/3) + (-5) + [{(-50/3) * (-5)}/100]
→ D = (-50 - 15)/3 + (250/300)
→ D = (-65/3) + (5/6)
→ D = (-65 * 2 + 5) / 6
→ D = (-130 + 5) / 6
→ D = (-125) / 6
→ D ≈ (-20.83)% .
here, Negative sign refers to discount .
Hence, we can conclude that, net value of discount was 20.83% .
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