Question

A fruit seller buys mangoes at the rate of 15 for Rs 12 and sells then at the rate of Rs 15 per dozen. find the gain percentage
(a) 25.65% (b) 32.25% (c) 51.35% d(d) 56.25%

Answer 1

Answer:

(d) is correct=> 56.25%

Step-by-step explanation:

CP /PC's = 12/15

SP/PC's = 15/12

gain = 15/12-12/15= 27/60= 9/20

gain%= (9/20)×100 / (12/15)

= ( 9×100×15)/(12×20)

= 56.25%

Answer 2

Answer = 56.25%

$\huge{\underline{\tt{\red{Solution-}}}}$

Cost price of 15 mangoes =$\sf{Rs 12}$

so, Cost price of 1 mangoes = $\longrightarrow \sf{= Rs\dfrac{12}{15}}$

so, Cost price of 12 mangoes = $\longrightarrow \sf{= Rs\dfrac{12}{15}}\times12$

${\underline{\tt{\red{Given-}}}}$

S.p of 12 mangoes = $\sf{Rs 15}$

Now,

$\huge{\underline{\tt{\green{We\: Calculate\:Gain}}}}$

$\sf\blue{Gain = Selling price - Cost price}$

$\longrightarrow \sf{= 15-9.60}$

$\longrightarrow \sf{= Rs 5.40}$

$\longrightarrow \sf{Gain\: percent= \dfrac{Gain}{CP\times100}}$

$\longrightarrow \sf{Gain\: percent = \dfrac{5.40}{9.6\times100}}$

$\longrightarrow \sf{= 56.25\%}$

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