The three successive discounts of 18%, 12% and 10% is equivalent to a single discount of:
- A31.605%
- B33.978%
- C37.509%
- D35.056%
Solution & Step-by-step Explanation
Let the initial marked price be Rs. 100.
After the first discount of 18%:
Price=100×(1−
100
18
)=100×0.82=82
After the second discount of 12%:
Price=82×(1−
100
12
)=82×0.88=72.16
After the third discount of 10%:
Price=72.16×(1−
100
10
)=72.16×0.90=64.944
The single equivalent discount is:
Equivalent Discount=100−64.944=35.056%
After the first discount of 18%:
Price=100×(1−
100
18
)=100×0.82=82
After the second discount of 12%:
Price=82×(1−
100
12
)=82×0.88=72.16
After the third discount of 10%:
Price=72.16×(1−
100
10
)=72.16×0.90=64.944
The single equivalent discount is:
Equivalent Discount=100−64.944=35.056%