Question

On selling a LCD for Rs.25600 a dealer gains 5%. At what price he purchased it.

Answer 1

Given :-

Selling price (S.P.) = Rs25600

Gain% = 5%

To find :-

The price at which the person purchased it = Cost price (C.P)

Solution :-

Formula to find C.P when S.P and gain% are given

➣ $C.P = \: \dfrac{SP \times 100}{100 + gain\%}$

Put the given values :-

$C.P = \dfrac{25600 \times 100}{100 + 5}$

$\dfrac{2560000}{105}$

$C.P = Rs24,380.90$

$\bold{Answer}$ ➣ C.P. = Rs 24,380.90

_________________________

Know more :-

Some Formulas :-

▪

$sp \: = \dfrac{cp(100 - l\%)}{100}$

This formula is used to find selling price when cost price and loss percent is given.

▪

$cp = \dfrac{(sp \times 100)}{100 + profit\%}$

This formula is used to find cost price when selling price and profit percent is given.

▪

$cp = \dfrac{(sp \times 100)}{100 - loss\%})$

This formula is used to find cost price when loss percent and selling price is given.

▪ Gain (Profit) = SP - CP

▪ Loss = CP- SP

$gain\% = \dfrac{gain \times 100}{cp}$

▪

$loss\% = \dfrac{loss \times 100}{cp}$

Answer 2

$\red{\green{\underline{\underline{ \rm{Given: }}}}}$

◉ Selling price (S.P) of LCD = ₹ 25,600

◉ Gain% = 5%

$\green{\large{\underline{\underline{ \rm{To \: Find: }}}}}$

The price at which the person purchased LCD i.e., Cost price (C.P)

$\green{\large{\underline{\underline{ \rm{Solution: }}}}}$

Formula used to find cost price (C.P) when selling price (S.P) and gain percent are given:

$\tt{\orange{\underline{\boxed{\tt{C.P = \dfrac{100 }{(100 + gain\%)} \times S.P}}}}}$

Substitute the values in the formula, we have:

➯ $\tt{C.P = \dfrac{100}{100 + 5} \times 25600}$

➯ $\tt{C.P = \dfrac{100}{105} \times 360}$

➯ $\tt{C.P = \dfrac{2560000}{105}}$

➯ $\tt{C.P = Rs. 24,380.95}$

∴ The price at which the person purchased LCD

$\tt = { \orange { \underline{ \boxed{ \tt{Rs. 24,380.95}}}}}$

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$\green{ \bf{Some \: Formulae:-}}$

❍ $\tt{ \green{Profit = S.P - C.P}}$

❍ $\tt{ \green{Loss = C.P - S.P}}$

❍ $\tt{ \green{Profit \: (gain\%) = \dfrac{Profit}{C.P} \times 100\%}}$

❍ $\tt{ \green{Loss\% = \dfrac{Loss}{C.P} \times 100\%}}$

To find S.P., when C.P. and Gain% are given:

❍ $\tt{ \green{ S.P = \dfrac{(100 + gain\%)}{100} \times C.P}}$

To find S.P., when C.P. and Loss% are given:

❍ $\tt{ \green{S.P = \dfrac{(100 - loss\%)}{100} \times C.P}}$

To find C.P., when S.P and Gain% are given:

❍ $\tt{ \green{C.P = \dfrac{100}{(100 + gain\%)} \times S.P}}$

To find C.P., when S.P and Loss% are given:

❍ $\tt{ \green{C.P = \dfrac{100}{(100 - loss\%)} \times S.P}}$

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