Question

The single discount in % which is equivalent to two successive discounts of 20% and 25% is

विकल्प

• 40%

• 45%

• 5%

• 22.5%

Answer 1

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%