Three shopkeepers A,B and C marked an identicl articles at Rs 4820. A , B and C sold their articles on succesive discounts of 20% and 20%;25% and 15%;30%and 10% respectively. What shopkeeper gives the maximum discount and how much (in Rs)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. C,1783.40
Given :
Marked price of the article = Rs 4820
Successive discounts by A, B and C are 20% and 20%; 25% and 15%; 30%and 10% respectively.
Formula used :
a and b are successive discounts, total discounts = (a + b) - (ab/100) ----- (1)
Discount amount = (Marked price) × (Discount%/100) ----- (2)
Calculations :
Using equation (1), we get
Total discount of A = (20 + 20) - (400/100)
⇒ 40 - 4 = 36%
Total discount of B = (15 + 25) - (375/100)
⇒ 40 - 3.75 = 36.25%
Total discount of C = (30 + 10) - (300/100)
⇒ 40 - 3 = 37%
Therefore, Shopkeeper C gave the maximum discount of 37%
Using equation (2)
Discount given by shopkeeper C = ((37)/100) × 4820
⇒ (37/100) × 4280
⇒ Rs 1783.4