Question

An old computer is sold for Rs 18,800 at a loss of 6%. Find the cost price. options are
• 10000 Rs
• 15000 Rs
• 20000 Rs
• 25000 Rs​
Answer with full explanation
Else it will be reported​

Answer 1

Answer:

As we know that every value is a 100% value in it's own so cost price is also a 100% value

Selling price = Cost price + % profit

Selling price = Cost price - % loss

And also we know that selling price increases or decreases by the same percentage as we face % profit or loss

By selling a plot for Rs.18700 the owner faced a loss of 15% it means that given Rs.18700 is a 85% value of cost price because whenever a value reduces by 15% it remains 85%

Cost price or 100% of this will be (18700*100)/85 or 22000

To gain 15% profit he must sell the plot at 115% of cost price

Selling price of plot at 15% profit = (22000*115)/100 or 25300 Rs.

Or

In one step :-

Selling price of plot at a profit of 15%

(18700*115)/85 = 25300

The given value 18700 is being multiplied by 115% because the person wants to earn a profit of 15% and to gain a profit of 15% he must sell the plot at 115%

But the given value 18700 is being divided by 85% because it's a 85% value of original value or cost price

Answer 2

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❥︎ An old computer is sold for Rs 18,800 at a loss of 6%. Find the cost price.

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• $\bf{\red{Selling\: Price}}\:(S.P)\:=\:Rs.18,800\:$

• $\bf{\red{\%\:Loss}}\:=\:6\%\:$

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✞︎ To calculate cost price if selling price and loss percentage are given:

$\red\bigstar\:\:\bf\purple{Cost\:Price\:(C.P)\:=\:\dfrac{S.P\:\times\:100}{100\:-\:\%{loss}}\:}$

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$\longmapsto\:\:\rm{Cost\:Price\:(C.P)\:=\:\dfrac{18,800\:\times\:100}{100\:-\:6}\:}$

$\longmapsto\:\:\rm{Cost\:Price\:(C.P)\:=\:\dfrac{18,800\:\times\:100}{94}\:}$

$\longmapsto\:\:\rm{Cost\:Price\:(C.P)\:=\:200\:\times\:100\:}$

$\longmapsto\:\:\bf\blue{Cost\:Price\:(C.P)\:=\:Rs.20000\:}$

$\Large\bf\therefore$ The cost price is Rs.20000.