Question

A shopkeeper allowed 10% discount on his goods to make 20% profit. if he sold a watch for acid people or 10% discount on his goods to make 20% profit if he sold off first for Rs.10170 with 30% VAT, by what percentage is the discount to be increased to make only 12% profit
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Answer 1

Answer:

The discount should be increased by 6%

Step-by-step explanation:

Rs. 10170 is comes with 30% VAT, then the amount without tax will be

$\implies 10170\times\frac{100}{130}=7823$

The amount 7823/- comes with 20% profit, Then the cost price should be

$\implies 7823\times\frac{100}{120}=6519.23\\ Now to make a profit of 12\% the selling price should be \\\\\implies 6519.23\times\frac{112}{100}=7301.54$

Now the marked price was $\implies 7823\times\frac{100}{90}=8692.22 as 10\% discount was added$

Now the discount is $\frac{8692.22-7301.54}{8692.22}\times100=\frac{1390.68}{8692.22}\times100 = 16\%$

$\therefore The discount was increased by (16 -10) = 6\%$

Answer 2

From the given question the correct answer is :

The discount should be increased by 6%

Solution:

Rs. 10170 is comes with 30% VAT, then the amount without tax will be

=> 10170×=7823

The amount 7823/- comes with 20% profit, Then the cost price should be

7823×$\frac{100}{120}$=6519.23

now ,to make a profit of 12%.the selling price should be ,

6519.23×$\frac{112}{100}$=7301.54

Now the marked price was =>7823×=8692.22 as 10% discount was added

Now the discount is

$\frac{8692.22 × 7350.54}{8692.22}$×100=$\frac{1390.68}{8692.22}$ ×100=16 %

the discount was increased by (16-10)=6%