Question

p makes a profir of 12% on a transaction.Had he bought the article at 10% less and sold it for 4% less by what percent his profit percentage would have increased
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Answer 1

Answer: 45%

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

P makes a profit of 12% on a transaction.Had he bought the article at 10% less and sold it for 4% less

TO DETERMINE

The percent his profit percentage would have increased

EVALUATION

Let original cost price = Rs 100

Now P makes a profit of 12% on a transaction

∴ Profit = Rs 12

So selling price = Rs ( 100 + 12 ) = Rs 112

If P bought the article at 10% less

Then new cost price = Rs ( 100 - 10 ) = Rs 90

If P sold it for 4% less

So new selling price

$\displaystyle \sf{ =Rs. \: \: \: 112 \times \frac{96}{100} }$

$\displaystyle \sf{ =Rs. \: \: \: 107.52 }$

∴ Profit = Rs ( 107.52 - 90 ) = Rs 17.52

∴ Profit increases by

= Rs ( 17.52 - 12 )

= Rs 5.52

∴ Rate of increase in profit

$\displaystyle \sf{ = \frac{5.52}{12} \times 100 \: \%}$

$\displaystyle \sf{ = 46 \: \%}$

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