Question

Find the C.P. when S.P. =₹460; gain =15%.

Answer 1

➤ Given :-

Selling price :- ₹ 460

Gain percentage :- 15%

➤ To Find :-

Cost price of the given sum

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100 \times SP}{(100 + Profit \bf\%)}}}}}$

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{100 \times 460}{(100 + 15)}}$

${\tt \longrightarrow \dfrac{ \cancel{100} \times 460}{ \cancel{115}} = \dfrac{20 \times 460}{23}}$

${\tt \longrightarrow \dfrac{20 \times \cancel{460}}{\cancel{23}} = \dfrac{20 \times 20}{1}}$

${\tt \longrightarrow 20 \times 20 = \boxed{\tt Rs \: \: 400}}$

$\Huge\therefore$ The cost price of the given sum is ₹ 400.

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$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Loss :- ${\boxed{\tt CP-SP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$

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More to know :-

• Profit and loss are obtained for all shopkeepers in their shops. The profit is obtained when the selling price is greater than cost price. The loss is obtained when the cost price is greater than selling price. The profit and loss can also be converted into percentage format by some mathematical formulas.
• To convert the profit to percentage from, first we should divide the profit and cost price and then multiply by 100.
• To convert the loss to percentage form, first we should divide the loss and cost price and then multiply by 100.

Answer 2

Question:

• Find the C.P when S.P=₹ 460 ,Gain% = 15%

To Find:

• Cost price

Given:

• S.P = ₹ 460
• Gain% = 15%

Solution:

$C P \: = \frac{100}{100 + profit \: \: percentage \: } \times sp$

$C P \: = \frac{100}{100 + 15} \times 460$

$= \frac{100}{115} \times 460$

$= \frac{46000}{115}$

$= 400$

Answer:

• Hence, the answer of cost price is ₹400 .