Question

Find a single discount
single discount equivalent to two successive discounts:-
1- 80% and 80%
2-60% and 60%
3- 60% and 80%​

Answer 1

Answer:

(i) Successive discount = 80% and 80%

Let M.P. = ₹100

Then S.P. after two discounts

= ₹ (100(100 – 80) × (100 – 80))/(100 × 100)

= (100 × 20 × 20)/(100 × 100) =  ₹ 4

∴ Total discounts = ₹ 100 – 4 = ₹96

∴ Single discount = 96%

(ii) Successive discounts = 60 % and 60%

Let M.P. = ₹100

Then S.P. after two discounts,

= (100(100 – 60) (100 – 60))/(100  × 100)

= (100 × 40 × 40)/100 × 100 = ₹16

∴ Total discount = ₹ 100 – 16 = ₹ 84

Single discount = 84%

(iii) Successive discounts = 60% and 80%

Let M.P. = ₹ 100

∴ S.P. after two discounts

= ₹ (100 (100 – 60) (100 – 80))/(100 × 100)

= ₹ (100 × 40 × 20)/100 × 100) = ₹ 8

∴ Total discount = ₹ 100 – 8 = ₹92

∴ Single discount = 92%

please mark me as brainliest

Step-by-step explanation: