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If CP:SP:MP=2:3:4, then which of the fol...

If `CP:SP:MP=2:3:4,` then which of the fol=lowing true?
(A) Profit percentage`=50%`
(B) Discount percentage`=25%`

A

Only (A)

B

Only (B)

C

Neither (A) nor (B)

D

Both (A) and (B)

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `CP:SP:MP=2:3:4`
Let the CP, SP and MP be Rs. 200, Rs. 300 and Rs. 400, respectively.
Then, profit `=SP-CP=Rs. 300-Rs. 200=Rs. 100`
Profit percentage`=("Profit")/(CP)xx100`
`=(100)/(200)xx100=50%`
Discount`=MP-SP=Rs. 400-Rs. 300=Rs. 100`
Discount percentage`=("Discount")/(CP)xx100`
`=(100)/(400)xx100=25%`
Hence, both (a) and (b) are true.
Hence, the correct option is (d).
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