Question

find the difference between the successive discount of 10%,10%,30% and 40%,5%,5% on rs 1000

Answer 1

The successive discounts 10%, 10%, 30% equivalent to one single discount be
$x + y + z - \frac{xyz}{100} \\ = 10 + 10 + 30 - \frac{10 \times 10 \times 30}{100} \\ = 50 - 3 \\ = 47\%$
Discount = 47% of 1000
→47/100*1000
→470

Successive discounts 40%, 5%, 5% equivalent to one single discount be
$x + y + z - \frac{xyz}{100} \\ = 40 + 5 + 5 - \frac{40 \times 5 \times 5}{100} \\ = 50 - 10 \\ = 40 \%$
Discount= 40% of 1000

→40/100*1000
→400

So both have a difference of 70.


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