A shoe manufacturing company offers 3 types of discount schemes to its customers: (i) 20% and 12% (ii) 25% and 5% (iii) 30%
and 3% at different stages of sales. Find the best scheme for the customer
This questions was previously asked in
SSC CHSL 30th May 2022 Shift-1
Only Scheme (iii)
Correct AnswerOnly Scheme (i)
Incorrect AnswerOnly Scheme (ii)
Incorrect AnswerBoth Schemes (i) and (ii)
Incorrect AnswerExplanation:
Let’s break it down:
- Each scheme offers a pair of successive discounts, not a simple sum.
- To find the real discount, multiply the price after the first discount by the second. Do it step by step.
Scheme (i): 20% and 12%
- After 20% off: Pay 80% of price.
- 12% off on this: Pay 88% of 80% = 0.8 × 0.88 = 0.704.
- So, pay 70.4% of price. Effective discount: 29.6%.
Scheme (ii): 25% and 5%
- After 25% off: Pay 75% of price.
- 5% off on this: Pay 95% of 75% = 0.75 × 0.95 = 0.7125.
- Pay 71.25% of price. Effective discount: 28.75%.
Scheme (iii): 30% and 3%
- After 30% off: Pay 70% of price.
- 3% off on this: Pay 97% of 70% = 0.7 × 0.97 = 0.679.
- Pay 67.9% of price. Effective discount: 32.1%.
- Comparing all, scheme (iii) gives the biggest total discount.
- So, the best deal is Only Scheme (iii).
Only Scheme (iii) is correct.
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By: santosh