Question

What will be selling price, if
cost price is 120 and gain is 35% ? *
O 135
O 85
O 155
O162​

Answer 1

Question:

What will be selling price, if cost price is 120 and gain is 35% ?

To find:

• Selling price

Given :

• C.P(cost price)= ₹120
• Gain=35%

Solution :

To find s.p first we have to find Gain:

We know

$\boxed{ \boxed{\rm Gain\% = \ \frac{Gain}{c.p} \times 100}}$

By using this formula we can find value of Gain

$: \implies\sf Gain\% = \dfrac{Gain}{c.p} \times 100$

put values of Gain % and c.p

$: \implies\sf 35= \dfrac{Gain}{120} \times 100$

$: \implies\sf 35= \dfrac{Gain}{12 \cancel0} \times 10 \cancel0$

$: \implies\sf 35= \dfrac{Gain}{12} \times 10$

$: \implies\sf Gain = \dfrac{35 \times 12}{10}$

$: \implies\sf Gain = \dfrac{420}{10}$

$: \implies\sf Gain = \dfrac{42 \cancel0}{1 \cancel0}$

$: \implies \blue{\underline{\underline{\sf Gain = Rs \: 42}}}$

Now we can find value of S.P

We know:

$\boxed{ \boxed{\rm Gain = s.p - c.p}}$

By using this formula we can find value of s.p.

$: \implies\sf Gain = s.p - c.p$

put values of Gain and c.p

$: \implies\sf 42= s.p - 120$

$: \implies\sf s.p = 120 + 42$

$: \implies \blue{\underline{\underline{\sf s.p = Rs \: 162}}}$

.°. Values of s.p is Rs 162

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know more:

$\boxed{\begin{minipage}{5cm}\bigstar \:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. = \sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100 \\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = \sf \dfrac{S.P. \times 100}{100 + Profit \%} \\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = \sf \dfrac{Profit \% \times C.P.}{100} \\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \: \sf Profit \% = \dfrac{Profit}{C.P.} \times 100 \end{minipage}}$

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Answer 2

Answer :

(d) Rs. 162

Given :

• Cost Price = Rs. 120
• Gain = 35%

To find :

• Selling price

Solution :

Cost Price = Rs. 120

Gain = 35%

$\sf \: s.p \: = \dfrac{(100 + gain)}{100} \times c.p$

$\sf \: s.p \: = \dfrac{(100 + 35)}{100} \times 120$

$\sf \: s.p \: = \dfrac{135}{100} \times 120$

$\sf \: s.p \: = \dfrac{16200}{100}$

$\sf \: s.p \: = Rs. 162$

Hence, Rs. 162 is the selling price.

Know more :-

• To find the Selling Price :

$\sf \: s.p \: = \dfrac{(100 + gain)}{100} \times c.p$