Question

the cost of 32 articles is equal to the selling price of two dozen of them find the gain or loss percent

Answer 1

AnswEr :

▣ CP of 32 Articles = SP of 2 Dozen Artcles

▣ CP × 32 = SP × (2 × 12)

▣ CP × 32 = SP × 24

▣ $\large\tt{\frac{CP}{SP}}$ = $\large\tt{\frac{24}{32}}$

✯ CP = 24 and, SP = 32

As, SP is more than CP ; So it will be definitely Gain.

» Gain = SP - CP

» Gain = 32 - 24

» Gain = 8

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$\boxed{ \bold{Gain\% = \frac{Gain}{CP} \times 100 }}$

➟ Gain% = $\large\tt{\cancel\frac{8}{24}}$ × 100

➟ Gain% = $\large\tt{\frac{100}{3}}$

➟ Gain% = $\huge\bold{33\frac{1}{3}\%}$

Answer 2

Answer :

CP of 32 Articles = SP of 24 Articles

LET THE CP OF 1 ARTICLE BE RS.1

⟹ CP OF 32 ARTICLES = RS.32

⟹ SP OF 24 ARTICLES = RS.32

⟹ SP OF 1 ARTICLE = 32/24

★ As SP is More than CP

⟹ GAIN = SP - CP

⟹ GAIN = 32/24 - 1

⟹ GAIN = (32 - 24)/24

⟹ GAIN = 8/24

★ GAIN% = GAIN/CP × 100

⟹ GAIN% = 8/24/1 × 100

⟹ GAIN% = 8/24 × 1 × 100

⟹ GAIN% = 1/3 × 100

⟹ GAIN% = 33.34%