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Question
The single discount in % which is equivalent to two successive discounts of 20% and 25% is
Options
40%
45%
5%
22.5%
Solution
40%
Explanation;
Hint:
Let marked price be M.P, after discount 1 of 20%,
Discounted price = `"M.P" xx ((100 - "d"_1%))/100`
= `((100 - 20))/100`
= `"M.P" xx 80/100`
After discount 2 of 25%,
Discounted Price = `"Discounted price" xx ((100 - "d"_2%))/100`
= `"M.P" xx 80/100 xx ((100 - 25))/100`
= `"M.P" xx (80 xx 75)/(100 xx 100)`
= `"M.P" xx 60/100`
= `"M.P" xx ((100 - 40))/100` ....[60 can be written as 100 − 40]
Comparing with formula, we get
∴ This is equivalent to a single discount of 40%
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