(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

Difficult

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

$A$ man sold two watches for $Rs. 3750$ each. On one he gained $5 \%$,and on the other,he lost $5 \%$. What was his total gain or loss percentage?

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When Ram sold his book for $Rs. 255$,he made a loss of $15\%$. For how much should he have sold it if he wanted to make a profit of $5\%$?

Medium

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$A$ dealer fixed the price of an article $40 \%$ above the cost of production. While selling it,he allows a discount of $20 \%$ and makes a profit of $Rs. 48$. The cost of production (in $Rs.$) of the article is:

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Articles are marked at a price which gives a profit of $25 \%$. After allowing a certain discount,the profit reduces to $12\frac{1}{2} \%$. The discount percent is: (in $\%$)

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$A$ shopkeeper sold one-third of his goods at a loss of $15 \%$. To get a profit of $10 \%$ on the whole transaction,he should sell the remaining articles at a profit of in $\%$?

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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?

Similar Questions

$A$ man sold two watches for $Rs. 3750$ each. On one he gained $5 \%$,and on the other,he lost $5 \%$. What was his total gain or loss percentage?

When Ram sold his book for $Rs. 255$,he made a loss of $15\%$. For how much should he have sold it if he wanted to make a profit of $5\%$?

$A$ dealer fixed the price of an article $40 \%$ above the cost of production. While selling it,he allows a discount of $20 \%$ and makes a profit of $Rs. 48$. The cost of production (in $Rs.$) of the article is:

Articles are marked at a price which gives a profit of $25 \%$. After allowing a certain discount,the profit reduces to $12\frac{1}{2} \%$. The discount percent is: (in $\%$)

$A$ shopkeeper sold one-third of his goods at a loss of $15 \%$. To get a profit of $10 \%$ on the whole transaction,he should sell the remaining articles at a profit of in $\%$?

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