Learn
Which of the following successive disounts are better to a customer
(a) 20%, 15%, 10%
(b) 25%, 12%, 18%
(a) is better
(b) is better
(a) or (b) both are same
None of these
Cannot determine
(a) is better
(b) is better
(a) or (b) both are same
None of these
Cannot determine
Solution
Let the product on which the successive discounts are offered be of Rs.1000/-
Case(a)Successive discounts offered are 20%, 15%, 10%
20% of 1000 = (20/100) × 1000 = 200
The price of product after discount of 20% is = 1000 − 200 = 800
15% of 800 = (15/100) × 800 = 120
The price of product after successive discount of 15% is = 800 − 120 = 680
10% of 680 = (10/100) × 680 = 68
The price of product after successive discount of 10% is = 680 − 68 = 612
Total discount offered = 1000 − 612 = Rs.388 = 38.8% of 1000
Case(b) Successive discounts offered are 25%, 12%, 18%
25% of 1000 = (25/100) × 1000 = 250
The price of product after discount of 25% is = 1000 − 250 = 750
12% of 750 = (12/100) × 750 = 90
The price of product after successive discount of 12% is = 750 − 90 = 660
18% of 660 = (18/100) × 660 = 118.8
The price of product after successive discount of 18% is = 660 − 118.8 = 541.2
Total discount offered = 1000 − 541.2 = Rs.458.8 = 45.88% of 1000
Discount offered in case(b) is higher.
Register & Unlock access to Prep for free
Solution
Keynote
If a successive discount of x%, y%, z% are offered on an item of price Rs.K then
The price of the product after successive discounts = (1 − x/100) × (1 − y/100) × (1 − z/100) × K
Total discount offered = [1 − {(1 − x/100) × (1 − y/100) × (1 − z/100)}] × 100
