A cloth merchant sold half of his cloth at 20 % profit, half of remaining at 20 % loss and rest was

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7.Profit and Loss

medium

A cloth merchant sold half of his cloth at $20 \%$ profit, half of the remaining at $20 \%$ loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be

Neither loss nor gain

$5 \%$ loss

$5 \%$ gain

$10 \%$ gain

Solution

$S.P.$ $=50 \% \times 120 \% \times$ C.P. $+25 \%(80 \%)$ C.P. $+25 \% \times 100 \%$ $C.P.$

$S.P.$ $=\left(\frac{6}{10}+\frac{2}{10}+\frac{1}{4}\right)$ C.P. $=\left(\frac{4}{5}+\frac{1}{4}\right)$ C.P. $=\left(\frac{16+5}{20}\right)$ C.P. $=\left(\frac{21}{20}\right)$ $C.P.$

$\therefore$ profit $\%=\left(\frac{21}{20}-1\right) \times 100=5 \%$

Standard 13

Quantitative Aptitude

Aditya purchased $14$ shirt $\&\, 25$ pants at $Rs.\,45$ and $Rs.\,55$ respectively what should be the approximate overall average selling price of shirt and pant so that $40 \%$ profit is earned in $Rs.$?

medium

A shopkeeper cheats to the extent of $10 \%$ while buying as well as selling, by using false weights. His total gain is in $\%$

medium

If the selling price is tripled and cost price doubled the profit would become $65 \% .$ What is the present profit (in $\%$)?

easy

$20 \%$ loss on selling price is what per cent loss on the cost price? (in $\%$)

hard

Sasha goes to a shop to buy a sofa set and a center table. Ske bargins for a $10 \%$ discount on the center table and and $25 \%$ discount on sofa set. However, the manager, by mistake, interchanged the discount percentage figures while making the bill and Sasha paid accordingly. When compared to what she should pay for her purchases, what percentage did Sasha pay extra given that the center table costs $40 \%$ as much as the sofa set.

hard

A cloth merchant sold half of his cloth at $20 \%$ profit, half of the remaining at $20 \%$ loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be

Solution

Similar Questions

Aditya purchased $14$ shirt $\&\, 25$ pants at $Rs.\,45$ and $Rs.\,55$ respectively what should be the approximate overall average selling price of shirt and pant so that $40 \%$ profit is earned in $Rs.$?

A shopkeeper cheats to the extent of $10 \%$ while buying as well as selling, by using false weights. His total gain is in $\%$

If the selling price is tripled and cost price doubled the profit would become $65 \% .$ What is the present profit (in $\%$)?

$20 \%$ loss on selling price is what per cent loss on the cost price? (in $\%$)

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