In case of gain, S.P. = (100 + gain%) × C.P./100. Is the following statement true or false

Solution:

If there is a gain/profit on transaction then:

Gain % = [(SP - CP)/CP] × 100

(SP - CP)/CP = Gain%/100

SP/CP - CP/CP = Gain%/100

SP/CP - 1 = Gain%/100

SP/CP = Gain%/100 + 1

SP/CP = [Gain% + 100]/100

SP = [100 + Gain%] × CP/100

Hence the statement is true.

✦ Try This: If Gain % = 20 and the cost price is Rs. 200 then what is the selling price?

SP = [100 + 20] × 200/100

= Rs. 240

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8

NCERT Exemplar Class 8 Maths Chapter 9 Problem 59

In case of gain, S.P. = (100 + gain%) × C.P./100. Is the following statement true or false

Summary:

In case of gain, S.P. = (100 + gain%) × C.P./100. is a True statement

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