Question

find out a single discount equivalent to two successive discounts of 16%and 8%?

Answer 1

Let the MP be 100,
S.P.
$= 100(1 - \frac{16}{100} )(1 - \frac{8}{100} ) = 100 \times \frac{21}{25} \times \frac{23}{25} = \frac{1932}{25}$
Therefore, single discount
$= 100 - \frac{1932}{25} = \frac{568}{25}$
= 22.7%

Answer 2

Hlw mate

The formula here is -D1 - D2 + {(-D1) x (-D2)}/100
Equivalent discount = -20 - 5 + {100/100}
= -25 + 1 = -24%
Eg:Long Method
CP= ₹100.
D1 = 20%
D2= 5%
Now,
100- (20% of 100) = 100 - 20 = ₹80 (after D1)
80 - (5% of 80) = 80 - 4 = ₹76 (after D2)
Final SP is ₹76.
OR
Equivalent discount formula   100- (24% of 100) = 100 - 24 = ₹76

Hope it helpful