Question

Shubhendu sold a mobile phone at a profit of 10%. Had it been sold for Rs 160 more ,the profit would have been 12 %
Find the cost of mobile ? ​

Answer 1

Solution :

The mobile is initially sold at a profit of 10%

If it was sold for Rs. 160 more, then the profit would have been 12%

We have to find the cost of the mobile.

Suppose it's cost price is m inr.

When it's sold for a profit of 10%

SP = 1.1 m ( 110% of m)

When it's sold for a profit of 12%

SP = 1.12 m ( 112% of m)

The difference is 160

1.12 m - 1.1m = 160

>> 0.02 m = 160

>> 2m = 160 × 100

>> m = 80 × 100 = 8000 inr

Answer : The cost of the mobile is Rs. 8000

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

Answer 2

Question:-

Shubhendu sold a mobile phone at a profit of 10%. Had it been sold for ₹160 more, the profit would have been 12%. Find the cost of mobile?

Given:-

• Shubhendu sold a mobile phone at a profit of 10%. Had it been sold for ₹160 more, the profit would have been 12%.

To Find:-

• The cost of mobile = ?

Solution:-

Let, C.P. = x.

$\sf \large P \% = 10 \% = \: \frac{S.P. \: – \: C.P.}{ C.P.} \times 100$

$\sf \large⇒ \frac{10}{100} = \frac{S.P.}{x} - 1 \\ \\ \sf \large⇒S.P. = \frac{110}{100} x$

$\sf \large at \: \: P \% = 12 \% = \frac{S.P.'– \: C.P.}{ C.P.} \times 100 \%$

$\sf \large⇒ \frac{12}{100} = \frac{S.P.'}{x} - 1 \\ \\ \sf \large⇒S.P. ' = \frac{112}{100} x$

Given, S.P.' – C.P. = ₹160.

$\sf \large⇒ \frac{112x}{100} - \frac{110x}{100} = 160 \\ \\ \sf \large⇒ \frac{2x}{100} = 160 \\ \\ \sf \large x = \frac{160 \times 100}{2} \\ \\ \sf \large x = \frac{{{ \cancel{16}}},000}{{{ \cancel{2} }}}= 8,000$

Answer:-

∴ The cost of mobile = ₹8,000.

Hope you have satisfied. ⚘