On a Rs 10000 payment order, a person has a choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better offer, he can save :

a. Rs 200
b. Rs 255
c. Rs 400
d. Rs 433

• 1st choice -> 3 discounts of 10%, 10% & 30%
  10,000* 10%= 1000 (remaining amt after deducting discount = 9000)
  9000*10% = 900 (remaining amt after deducting discount 8100)
  8100*30% = 2430.
  So total discount amt = 4330 (1000+900+2430)
  
  2nd choice -> 3 discounts of 40%, 5% & 5%
  10,000*40% = 4000 (remaining amt after deducting discount = 6000)
  6000*5% = 300 (remaining amt after deducting discount = 5700)
  5700*5% = 285
  So total discount amt = 4585 (4000+300+285)
  Savings = 4585-4330 = 255.
• 11 years agoHelpfull: Yes(7) No(0)
• use formula:
  total successive discount= [1-{(1-10/100)*(1-10/100)*(1-30/100)}]*100
  = 43.30%
  discount= 10000*43.30/100= 4330
  
  similarly for second choice= 4585
  
  finally he can save= 4585-4330=255
  
• 9 years agoHelpfull: Yes(0) No(0)
• discount=10000*43.30100=4330
  4585
  255
• 9 years agoHelpfull: Yes(0) No(0)