Find the final price after a percentage discount on the MRP, and how much you save.
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MRP ₹2,499 at 20% off: saving = 2,499 × 20 ÷ 100 = ₹499.80, final price ₹1,999.20.
A jacket is marked ₹2,400 with 25% off.
Discount = 2400 × 25 ÷ 100 = ₹600
Sale price = 2400 − 600 = ₹1,800
Faster route: paying 75% of the price, so 2400 × 0.75 = ₹1,800 in one step. Learn to work with the surviving fraction (0.75) rather than the discount (0.25) — it makes the successive case trivial.
Quoted from Percentage Discount and Successive Discounts — Worked Examples.
A ₹5,000 item carries 20% off, then a further 10% off at the counter.
Step by step:
After the first discount: 5000 × 0.80 = ₹4,000
After the second: 4000 × 0.90 = ₹3,600
In one line: 5000 × 0.80 × 0.90 = 5000 × 0.72 = ₹3,600
Single equivalent discount:
Formula route: 20 + 10 − (20 × 10 ÷ 100) = 30 − 2 = 28%
Check: 1 − 0.72 = 0.28 = 28% ✓
A flat 30% would have given 5000 × 0.70 = ₹3,500 — ₹100 cheaper. The second discount was only ever applied to ₹4,000, not to ₹5,000, and 10% of the missing ₹1,000 is that ₹100.
Quoted from Percentage Discount and Successive Discounts — Worked Examples.
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