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

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

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

But , the retail price is ₹ 15741

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

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

$= 12500$

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

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Answer 2

Answer:

Let the production cost of the geyser be Rs x.

Manufacturers gain=6%

Therefore , S.P of the manufacturer=106% of Rsx=Rs.

100

x×106

=

50

53x

Wholesale dealer's gain=8%

S.P of the dealer=108% of Rs.

50

53x

=

50

53x

×

100

108

Retailer's gain=10%

S.P of the retailer=110% of Rs.

50

53x

×

25

27

=

50

53x

×

25

27

×

100

110

=

50

53x

×

25

27

×

10

11

=15741

⇒x=15741×

11

10

×

27

25

×

53

50

⇒x=Rs.12500

Hence, the cost of the production of the geyser=Rs 12500