First the Difference Between a Single Discount of 40% and Two Successive Discounts of 36% and 4% on Rs.5000.

First the difference between a single discount of 40% and two successive discounts of 36% and 4% on Rs.5000.

Sum

M.P. = Rs.5000
In First case, discount = 40%
`"S.P."/"M.P." = 1 - "discount"/(100)`

⇒ `"S.P."/(5000) = 1 - (40)/(100)`

⇒ S.P. = `(60)/(100) xx "Rs.5000"`
= Rs.3000
In Second case, successive discounts = 36%, 4%
S.P. = `(1 - "D"_1/100)(1 - "D"_2/100)"M.P."`

= `(1 - 36/100)(1 - 4/100)5000`

= `(6)/(100) xx (96)/(100) xx 5000`
= Rs.3072
∴ Difference between both the S.P.'s
= Rs.3072 - Rs.3000
= Rs.72.

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