b) Find a single discount equivalent to two successive discounts of 20%and
15%
Answers
Answer:
25%
Step-by-step explanation:
Question -
Find a single discount equivalent to two successive discounts of 15% and 20%.
Given -
- Two successive discounts - 15% and 20%
To Find -
- A single discount equivalent to the two successive discounts.
Solutions -
Let a single discount of d% be equivalent to the two successive discounts.
Then, (SP after a discount of d%) = (SP after the two successive discounts of 15% and 20%).
Hence, the single equivalent discount is 32%.
_______________________________________
Here,
- d¹ = 15
- d² = 20
Hence, The single discount equivalent to the two successive discounts is 32%.
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Remember These -
:⟼ Discount = MP - SP.
:⟼ SP = MP - discount.
:⟼ MP = SP + discount.
:⟼ Discount per cent = discount/MP × 100
:⟼ After a discount of d% on the MP,
SP = (1 - d/100) × MP
:⟼ After two successive discounts of d¹% and d²% on the MP,
SP = (1 - d¹/100)(1 - d²/100) × MP
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