Question

At what price should an object be marked to make a profit of 15% on its purchase price ₹9640 after being discounted by 15%?

Please give proper explanation and not only the answer

Those who will answer giving it 5 star, thanks and brain list
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Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

• Cost Price of an object = ₹ 9640

• Profit % = 15 %

We know,

Selling Price, Cost Price and Profit % are connected by the relationship,

$\boxed{ \rm{ \:Selling \: Price = \frac{(100 + Profit\%) \times Cost \: Price}{100} \: }}$

So, on substituting the values, we get

$\rm \: Selling \: Price \: = \: \dfrac{(100 + 15) \times 9640}{100}$

$\rm \: Selling \: Price \: = \: \dfrac{115 \times 964}{10}$

$\bf\implies \:Selling \: Price \: = \: 11086$

Now, we have

• Selling Price of an object = ₹ 11086

• Discount % = 15 %

We know,

Marked Price, Selling Price and Discount % are connected by the relationship

$\boxed{ \rm{ \:Marked \: Price = \frac{100 \times Selling \: Price}{100 - Discount\%} \: }}$

So, on substituting the values, we get

$\rm \: Marked \: Price \: = \: \dfrac{11086 \times 100}{100 - 15}$

$\rm \: Marked \: Price \: = \: \dfrac{11086 \times 100}{85}$

$\bf\implies \:Marked \: Price \: = \: 13042.35$

Hence,

The price that he should be marked on an object to make a profit of 15% on its purchase price ₹9640 after being discounted by 15% is ₹ 13042.35

$\rule{190pt}{2pt}$

Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

By adding 30 percent profit as we have discounted 15 percent we will get the prize at which discount is done and then add 15percent

let cp be 100

then by 15percent discount

we will have 100-15

=85ruppes as sp

if sp is ruppes 85 then cp is 100

so when sp is 9640 then cp is 9640*100/85

=11341.1

now for 15percent profit

15percent of 11341.1

=1701.1

cp+profit=sp

11341.1+1701.1

=13042.2rupees

Ans. The object should be marked at 13042.2rupees.

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