(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%

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(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%$ profit.In the first case,the total profit $= (50 \times 0.20x) + (50 \times 0.40x) = 10x + 20x = 30x$.In the second case,if all $100$ items were sold at $25 \%$ profit,the total profit $= 100 \times 0.25x = 25x$.According to the problem,$30x - 25x = 100$.$5x = 100$.$x = 20$.Therefore,the cost price of each item is $Rs. 20$.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

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Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?

A
$10$
B
$15$
C
$20$
D
$30$

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Profit and Loss

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Profit and Loss

By selling an umbrella for $Rs. 300$,a shopkeeper gains $20 \%$. During a clearance sale,the shopkeeper allows a discount of $10 \%$ on the marked price. His gain per cent during the sale is

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In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I$. $x^{2} = 16$
$II$. $2y^{2} - 17y + 36 = 0$

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$A$ shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $₹ 56$ on one item,what is the advertised price of the item in $₹$?

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Kamal has some apples. He sold $40\%$ more than he ate. If he sold $70$ apples,how many did he eat?

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Amit buys $5$ watches for $Rs. 9450$ and later sells them for $Rs. 9700$. How much profit does Amit make per watch in $Rs.$?

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Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?

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By selling an umbrella for $Rs. 300$,a shopkeeper gains $20 \%$. During a clearance sale,the shopkeeper allows a discount of $10 \%$ on the marked price. His gain per cent during the sale is

In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.$I$. $x^{2} = 16$$II$. $2y^{2} - 17y + 36 = 0$

$A$ shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $₹ 56$ on one item,what is the advertised price of the item in $₹$?

Kamal has some apples. He sold $40\%$ more than he ate. If he sold $70$ apples,how many did he eat?

Amit buys $5$ watches for $Rs. 9450$ and later sells them for $Rs. 9700$. How much profit does Amit make per watch in $Rs.$?

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In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I$. $x^{2} = 16$
$II$. $2y^{2} - 17y + 36 = 0$