Question

A single discount equivalent to a discount series of 40% and 20% is :​

Answer 1

Given : discount in series of 40% and 20%

To Find :  A single equivalent discount

A) 49%

(B) 52%

(C) 53%

(D) None of these

Solution:

Let say Price before discount = P

40 % Discount = (40/100)P = 0.4P

price after one discount =  P - 0.4P = 0.6P

20 % discount = (20/100)0.6P = 0.12P

Price after total Discount = 0.6P - 0.12P

= 0.48P

Net Discount = P - 0.48P = 0.52P

single equivalent discount = (0.52P/P) * 100

= 52 %

Learn More:

2 successive discounts of 10% ad 5% are equivalent to a single ...

https://brainly.in/question/8145478

what interest rate is equivalent to an 11% discount rate in ...

https://brainly.in/question/22289908

Answer 2

SOLUTION

TO DETERMINE

A single discount equivalent to a discount series of 40% and 20% is

EVALUATION

Let the initial price = 100P

First discount percentage = 40%

Discount Amount

$\displaystyle \sf{ =100P \times \frac{40}{100} }$

$\displaystyle \sf{ =40P }$

After 40% discount the price is

= 100P - 40P

= 60P

Now the discount percentage = 20%

Discount Amount

$\displaystyle \sf{ =60P \times \frac{20}{100} }$

$\displaystyle \sf{ =12P }$

Total discount amount

= 40P + 12P

= 52P

So total discount percentage

$\displaystyle \sf{ = \frac{52P}{100P} \times 100\% }$

$\displaystyle \sf{ = 52\% }$

FINAL ANSWER

A single discount equivalent to a discount series of 40% and 20% is 52%

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ the cost of an article a is 10 % more than the cost of article b if their total cost is rupees 441 then cost of article ...

https://brainly.in/question/47308967

2. Sonu sold an article for ₹ 3400 and lost 15% on it. The cost price of the article was

https://brainly.in/question/47689542