successive discount of 20% and 25% are equivalent to a single discount of
A) 33%
B) 40%
C) 35%
D) 45%
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successive discount of 20% and 25% are equivalent to a single discount of
A) 33%
B) 40%
C) 35%
D) 45%
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Consider the original price as x,
After allowing 20% discount,
The price will now be,
⇒ x - 20% of x
⇒ 80% of x
⇒ 80/100 * x
⇒ 0.8 x
Now The price is 0.8x,
Another discount of 25% is allowed,
The price will now be,
⇒ 0.8x - 25% of ( 0.8x)
⇒ 0.8 x - 0.2 x
⇒ 0.6 x
⇒ 60% of x
The original cost was x
Cost after two successive discounts = 0.6 x
⇒Total discount = x - 0.6x
⇒ Total discount = 0.4 x
⇒ Total discount = 40% of x
Therefore, Two successive discounts of 20% and 25% are equivalent to a single discount of 40%
Required Option is B