Question

if the manufacturer gains 6% the whole sale dealer 8% and a retailer 10% then what is the production cost of geyser whose retail prices is ₹15741.​

Answer 1

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Let the production cost of the geyser be ₹ x

Manufacturer's gain = 6 %

∴ SP of the manufacture = 106 % of ₹x

$⠀⠀⠀⠀ = (x \times \frac{106}{100} ) = ₹ \frac{53x}{50}$

Wholesale dealer's gain = 8%

SP of the dealer = 108 % of ₹ (53x /50 )

$= ₹( \frac{53x}{50} \times \frac{108}{100} ) = ₹( \frac{53x}{50} \times \frac{27}{25} )$

Retailer's gain = 10 %

$SP \: of \: the \: \: retailer \: = 110\% \: of \: ₹ (\frac{53x}{50} \times \frac{27}{25} )$

SP of the retailer = 110\% of ₹(\frac{53x}{50} \times \frac{27}{25} )

$= ₹( \frac{53x}{50} \times \frac{27}{25} \times \frac{110}{100} )$

$= ₹( \frac{53x}{50} \times \frac{27}{25} \times \frac{11}{10} )$

But , the retail price is ₹ 15741

$∴ \frac{53x}{50} \times \frac{27}{25 } \times \frac{11}{10} = 15741$

$= > x = \frac{15741 \times 50 \times 25 \times 10}{53 \times 27 \times 11}$

$= 12500$

Hence , the cost if production of the geyser is ₹ 12500

Answer 2

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Let the production cost of the geyser be ₹ x

Manufacturer's gain = 6 %

∴ $\: SP \: of \: the \: manufacture \: = 106\% \: of$

⠀⠀⠀⠀ = $(x \times \frac{106}{100} ) = ₹ \frac{53x}{50}$

Wholesale dealer's gain = 8%

$SP \: of \: the \: dealer \: = 108\% \: of \: ₹ \frac{53x}{50}</p><p></p><p>[tex]= ₹( \frac{53x}{50} \times \frac{108}{100} ) = ₹( \frac{53x}{50} \times \frac{27}{25} )$

Retailer's gain = 10 %

$SP \: of \: the \: \: retailer \: = 110\% \: of \: ₹ (\frac{53x}{50} \times \frac{27}{25} )$

$SP \: of \: the \: \: retailer \: = 110\% \: of \: ₹ (\frac{53x}{50} \times \frac{27}{25} )$

$= ₹( \frac{53x}{50} \times \frac{27}{25} \times \frac{110}{100} )$

$= ₹( \frac{53x}{50} \times \frac{27}{25} \times \frac{11}{10} )$

But , the retail price is ₹ 15741

$∴ \frac{53x}{50} \times \frac{27}{25 } \times \frac{11}{10} = 15741$

$= > x = \frac{15741 \times 50 \times 25 \times 10}{53 \times 27 \times 11}$

= 12500=12500

Hence , the cost if production of the geyser is ₹ 12500