Question

At a profit of 8%, a shopkeeper sold a calculator for Rs.1,382.40. If he wants to increase his profit by 2% at what price should he sell the calculator?​ its answer will be rs.1408 pls show step by step explanation

Answer 1

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

• $\bf{The\: selling\:price\:of\: calculator=Rs.1382.40}$
• $\bf{The\: profit\: on\: calculator=8\%}$

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

• $\bf{The\: selling\: price\: after\: increasing\: profit\:by\:2\%}$

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

• At 1st calculate the cost price of the calculator than find out the cost of new selling price after increasing the profit by 2% ]

$\sf\large\underline{Formula\: used:}$

$\rm{\implies CP=\dfrac{100}{100+G\%}\times\:SP}$

$\rm{\implies CP=\dfrac{100}{100+8}\times\:1382.40}$

$\rm{\implies CP=\dfrac{100}{108}\times\:1382.40}$

$\rm{\implies CP=\dfrac{138240}{108}}$

$\rm{\implies CP=Rs.1280}$

• Now, calculate new selling price after increasing profit by 2% ,here]

$\sf\large\underline{Now,\:we\: have:}$

$\bf{\implies The\:cost\: price\:of\: calculator=Rs.1280}$

$\bf{\implies Profit\: after\: increasing=8\%+2\%=10\%}$

$\rm{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\rm{\implies SP=\dfrac{100+10}{100}\times\:1280}$

$\rm{\implies SP=\dfrac{110}{100}\times\:1280}$

$\rm{\implies SP=\dfrac{140800}{100}}$

$\rm{\implies SP=Rs.1408}$

$\sf\large{Hence,}$

$\bf{\implies New\: selling\:price\:of\: calculator=Rs.1408}$

Answer 2

Answer:

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