Practice Questions
Find the single equivalent discount of 20% and 25%.
$20 + 25 - (20 \times 25)/100 = 45 - 5 = 40\%$.
A product marked ₹2400 is offered at successive discounts of 15% and 20%. Find the final price.
Equivalent discount = $15 + 20 - 3 = 32\%$. Final Price = $2400 \times (1 - 0.32) = 2400 \times 0.68 = ₹1632$.
Two successive discounts result in a total discount of 36%. If one discount is 20%, find the other.
$20 + x - 0.2x = 36 \Rightarrow 0.8x = 16 \Rightarrow x = 20\%$.
A dealer gives 10% festival discount and 5% loyalty discount. Find effective discount.
$10 + 5 - (10 \times 5)/100 = 15 - 0.5 = 14.5\%$.
Compare a single discount of 30% with two successive discounts of 20% and 10%.
Successive $20\%+10\%$ results in $20+10-2 = 28\%$. Single $30\%$ is higher.
Marked price ₹5000. After two successive discounts, selling price is ₹3400. Find the equivalent discount %.
Discount amount = $5000 - 3400 = 1600$. Discount % = $(1600 / 5000) \times 100 = 32\%$.
Find the single equivalent discount of 30% and 20%.
$30 + 20 - (30 \times 20)/100 = 50 - 6 = 44\%$.
A shopkeeper gives two successive discounts of 15% each. Find the effective discount percentage.
$15 + 15 - (15 \times 15)/100 = 30 - 2.25 = 27.75\%$.
A product is sold at a 20% discount followed by another 10% discount. What percentage of the original price does the customer pay?
Customer pays $(1 - 0.2)(1 - 0.1) = 0.8 \times 0.9 = 0.72 = 72\%$ of original price.
Find the single discount equivalent to three successive discounts of 10%, 20% and 30%.
After 10%: 90% left. After 20%: $0.9 \times 0.8 = 0.72$. After 30%: $0.72 \times 0.7 = 0.504$. Equivalent discount = $1 - 0.504 = 49.6\%$.
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