Question

find a single discount as percent equevalent to sucessive discount of 10%and 20% i need step by step answer​

Answer 1

Answer:

Here, we will first assume any number of which will find the two successive discounts. So, we will assume that number to be 100. Thus, successive discounts i.e. 20% and 10% on 100 is 72. Thus, the answer is 28%.

Answer 2

(i) Successive discount = 20% and 12%

Let M.P. = ₹ 100

First discount = 20%

Second discount = 12%

∴ S.P. = (M.P. (100 – Discount %)) /100

= (100 × (100 – 20) (100 – 12))/100 × 100

= (100 × 80 × 88)/100 × 100 = 352/5

∴ Total discount on ₹100 = 100 – 352/5

= (500 – 352)/5 = ₹ 148/5

∴ Single discount = 148/5 % = 29. 3/5%

(ii) Successive discount 10%, 20% and 20%

Let M.P. = ₹ 100

∴ S.P. after 3 discounts

= (100(100 – 10) (100 – 20) (100 – 20))/(100 × 100 × 100)

= (100 × 90 × 80 × 80)/(100 × 100 × 100) = 576/10

∴ Total discount = ₹100 – 576/10

= ₹ (1000 – 576)/10 = 424/10

∴ Single discount = 424/10 % = 42.4%

(iii) Successive discounts = 20%, 10%, 5%,

Let M.P. = ₹100

∴ S.P. after three discounts

= ₹ (100(100 – 20)(100 – 10) (100 -5))/(100 × 100 × 100)

= ₹ (100 × 80 × 90 × 95)/(100 × 100 × 100) = ₹342/5

∴ Total discount = 100 – 342/5

= (500 – 342)/5 = 158/5

∴ Single discount = 158/5% = 31.6%