Question

find a single discount which is equivalent to two succesive discount of 20% and 10%​

Answer 1

Answer:

Step-by-step explanation:

Step 1: For ease, let’s consider the initial amount to be Rs. 100

Step 2: Now the first discount is of 20%. So 20% of Rs. 100 = (20/100)*100 = Rs. 20

Step 3: Now left amount = 100 - 20 = Rs. 80

Step 4: Now the second discount is of 10%. So 10% of Rs. 80 = (10/100)*80 = Rs. 8

Step 5: Now left amount = 80 - 8 = Rs. 72

Step 6: Now the third discount is of 5%. So 5% of Rs. 72 = (5/100)*72= Rs. 3.60

Step 7: Now left amount = 72 - 3.60 = Rs. 68.40

Step 8: So the overall discount offered = 100 - 68.40 = 31.60

Step 9: So the overall discount % offered = (31.60/100)*100 = 31.6%

Hence, The required single discount equivalent to the discount series of 20%, 10% and 5% is 31.6%