Question

Soniya buys two bedsheets for 450 each. She sells one at a profit of 6% and other a
a loss of 6%. Find her gain or loss per cent.
Arun bu​

Answer 1

Answer:

Soniya neither get profit nor loss.

Step-by-step explanation:

Given: Soniya buys two bedsheets for Rs 450 each.

Total cost price = Rs (450 + 450) = Rs 900

She sells one at a profit of 6%:

Formula: SP = CP + profit% of CP

SP = Rs (450 + 6% of 450)

SP = Rs (450 + 27) = Rs 477

She sells other at a loss of 6%:

Formula: SP = CP - loss% of CP

SP = Rs (450 - 6% of 450)

SP = Rs (450 - 27) = Rs 423

∴ Total Selling price = Rs (477 + 423) = Rs 900

Now: We saw that SP and CP both are equal.

It means Soniya neither get profit nor loss.

Some abbreviations used:

CP = Cost price

SP = Selling price

Answer 2

$\sf{ \blue{\underline {\underline{ \large{Given:}}}}}$

✰ Soniya buys two bedsheets for 450 each.

✰ She sells one at a profit of 6% and other a

a loss of 6%.

$\sf{ \blue{\underline {\underline{ \large{ To \: Find:}}}}}$

✠ Gain or loss percent

$\sf{ \purple{ \large{\underline {\underline{Solution:}}}}}$

Now, we know that Soniya buys two bedsheets for 450 each. For finding the total C.P or cost price of both the bedsheets, we will multiply it by 2.

So, the cost price of both the bedsheets = 2 × 450

Total C.P = Rs.900

☯ Now, we know that she sells one at a profit of 6%. We can easily calculate selling price ( S.P ) by using formula in case of loss percent is given,

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

$\implies{\sf{S.P. = \dfrac{(100 + 6)}{100} \times 450 }}$

$\implies{\sf{S.P. = \dfrac{106}{100} \times 450 }}$

$\implies{\sf{S.P. = \dfrac{{ \cancel{106}}^{53} }{ \cancel{100} \cancel{_2} } \times {\cancel{450}}^{9} }}$

$\implies{\sf{S.P. = 53 \times 9}}$

$\implies{\sf{S.P. = Rs. \: 455}}$

☯ Now, we know that the other bedsheet she at a loss of 6%. We can easily calculate selling price ( S.P ) by using formula in case of loss percent is given,

$\sf{ \underline{ \boxed{ \sf{S.P. = \dfrac{(100 - loss\%)}{100} \times C.P. }}}}$

$\implies{\sf{S.P. = \dfrac{(100 - 6)}{100} \times 450 }}$

$\implies{\sf{S.P. = \dfrac{94}{100} \times 450 }}$

$\implies{\sf{S.P. = \dfrac{{ \cancel{94}}^{47} }{ \cancel{10} \cancel{_2} \cancel0} \times { \cancel{45}}^{9} \cancel0 }}$

$\implies{\sf{S.P. = 47 \times 9}}$

$\implies{\sf{S.P. = Rs. \: 423}}$

Now, find out the total selling price of both the bedsheets by adding them,

➝ Total selling price = Rs ( 477 + 423 )

➝ Total selling price = Rs. 900

So, we see that Selling price ( S.P ) and cost price ( C.P. ) of both the bedsheets are same i.e.,

C.P = S.P = Rs. 900

Therefore there is no profit or loss.

∴ Soniya neither gain nor loss!

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