CAT QUANT PROFIT LOSS 1

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Question 1:

A man sells his goods at $10 \%$ profit. Had he bought it at $10 \%$ less and sold it at Rs 10 less, then he would have gained $20 \%$. What is the cost price of the goods?

Question 2:

A man bought 2 articles at same price. Later on by selling them he got a profit of $50 \%$ on $1^{\text {st }}$ and $25 \%$ on $2^{\text {nd }} .$ If profit on $1^{\text {st }}$ is calculated on $\mathrm{CP}$ and that on $2^{\text {nd }}$ is calculated on $\mathrm{SP}$, then the difference between the profits is Rs 500 . Find the cost price.

Question 3:

A man sells his goods at $25 \%$ profit. Had he purchased it at Rs 900 less and then sold it at RS 900 less, then he would have gained 5 percent points more. Find the cost price.

Question 4:

By selling an item at Rs 1250 , a trader loses something. Had he sold it at Rs 1000 , he would have lost $20 \%$ more. What is the cost price of the item?

Question 5:

A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. $6 \ldots$ and so on. If he wants to make an overall profit of at least $40 \%$, what is the minimum number of goods he should sell?

Question 6:

A dishonest dealer professes to sell goods at $20 \%$ discount. By what $\%$ above the cost price should he mark the price of goods so as to allow such discount ?

Question 7:

A man calculates his loss percent on selling price. If the loss percent is $25 \%$, then what will be his actual loss\%?

Question 8:

A merchant buys 80 articles, each at Rs. 40 . He sells $\mathrm{n}$ of them at a profit of $\mathrm{n} \%$ and the remaining at a profit of $(100-\mathrm{n}) \%$. What is the minimum profit the merchant could have made on this trade?

Question 9:

By selling 2 articles at same price, a man gets $50 \%$ profit on $1^{\text {st }}$ and $40 \%$ profit on $2^{\text {nd }}$. If profit on $1^{\text {st }}$ is calculated on SP and that on $2^{\text {nd }}$ is calculated on $\mathrm{CP}$, then the difference between the profits is Rs 900 . Find the selling price.

Question 10:

Traders $A$ and $B$ buy two goods for $R s .1000$ and Rs. 2000 respectively. Trader $A$ marks his goods up by $x \%$, while trader $B$ marks his goods up by $2 x \%$ and offers a discount of $x \%$. If both make the same non-zero profit, find $x$.
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