A shopkeeper cheats to extent of 10 % while buying as well as selling, by using false weights. His t

English

Gujarati

Hindi

7.Profit and Loss

medium

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

A

$10$

B

$11$

C

$20$

D

$21$

Solution

The shopkeeper pays for $900$ $g$ instead of $1000$ $g$ while buying and sells the item weighing $900 gm$ for $1000 g$ or $1 kg$

$\operatorname{Gain} \%=\frac{(100+\operatorname{common} gain \%)^{2}}{100}-100$

$=\left[\frac{(100+10)^{2}}{100}-100\right] \%$

$=\left[\frac{12100}{100}-100\right] \%=21 \%$

Standard 13

Quantitative Aptitude

Share

Similar Questions

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs.\, 1842.75$ for it, then what did Sita pay for it? (in $Rs.$)

medium

Find a simple discount equivalent to a discount series of $10 \%, 20 \%$ and $25 \%$ (in $\%$)

medium

A person sold a radio at a loss of $5 \% .$ Had he sold it for $Rs\, 210$ more, he would have gained $25 \%$. For what value should he sell it in order to gain $35 \% ?$

easy

Two items $A$ and $B$ are sold at a profit of $10 \%$ and $15 \%,$ respectively. If the amount of profit received is the same, then the cost price of $A$ and $B$ may be (in $Rs.$)

medium

A man had a certain amount with him. He spent $20 \%$ of that to buy an article and $5 \%$ of the remaining on transport. Then he gifted $Rs.\,120.$ If he is left with $Rs.\,1,400$ the amount he spent on transport is (in $Rs.$)

hard