Question 13 Marks
A vendor buys oranges at $Rs. 26$ per dozen and sells them at $5$ for $Rs. 13$. Find his gain percent.
Answer$CP$ of $1$ dozen oranges $= Rs. 26$
$CP$ of $1$ orange $=\frac{26}{12}=\text{Rs. }2.16$
$CP$ of $5$ orange $2.16 \times 5 = Rs. 10.8$
Now, $SP$ of $5$ orange $= Rs. 13$
Gain $= SP - CP = Rs. (13 - 10.8) = Rs. 20.2$
Gain $ \%$ $=\Big(\frac{\text{Gain}}{\text{CP }}\Big)\times100$
$=\Big(\frac{2.2}{10.8}\Big)\times100$
$=20.3\%$
Gain $ \% = 20.3\%$
View full question & answer→Question 23 Marks
Shikha purchased a wrist watch for $Rs. 840$ and sold it to her friend Vidhi for $Rs. 910$. Find her gain percent.
AnswerThe cost price of the wristwatch that Shikha purchased, $CP = Rs. 840$
The price at which she sold it, $SP = Rs. 910$
Gain $= SP - CP = (910 - 840) = Rs. 70$
Gain $ \%$ $=\Big(\frac{\text{Gain}}{\text{CP }}\Big)\times100$
$=\Big(\frac{70}{840}\Big)\times100$
$=\frac{7000}{840}$
$=8.3\%$
Gain $ \% = 8.3\%$
View full question & answer→Question 33 Marks
Jyotsana bought $400$ eggs at $Rs. 8.40$ a dozen. At what price per hundred must she sell them so as to earn a profit of $15\%$?
AnswerCost of eggs per dozen $= Rs. 8.40$
Cost of $1$ egg $=\frac{8.40}{12}=\text{Rs. }0.7$
Cost of $400$ eggs $= 400 \times 0.7 = Rs. 280$
Calculating the price at which Jyotsana should sell the eggs to earn a profit of $15\%$,
We get $15\%$ of $280 + 280$ $=\Big(\frac{15}{100}\times280\Big)+280$
$=\Big(\frac{4200}{100}\Big)+280$
$=42+280$
$=\text{Rs. }322$
So, Jyotsana must sell the $400$ eggs for $Rs. 322$ in order to earn a profit of $15\%$.
Therefore, the $SP$ per one hundred eggs $=\text{Rs.}\frac{322}{4}=\text{Rs. }80.50$.
View full question & answer→Question 43 Marks
A woman bought $50$ dozen eggs at $Rs 6.40$ a dozen. Out of these $20$ eggs were found to be broken. She sold the remaining eggs at $55$ paise per egg. Find her gain or loss percent.
AnswerCost of one dozen eggs $= Rs. 6.40$
Cost of $50$ dozen eggs $= 50 \times 6.40 = Rs. 320$
Total number of eggs $= 50 \times 12 = 600$
Number of eggs left after removing the broken ones $= 600 - 20 = 580$
$SP$ of $1$ egg $= 55$ paise
So, $SP$ of $580$ eggs $= 580 \times 55 = 31900$ paise$=\text{Rs.}\frac{31900}{100}$
$\Big[\because 1\text{ Paisa}=\text{Rs.}\frac{1}{100}\Big]$
$=\text{Rs. }319$
Loss $= CP - SP = Rs. (320 - 319) = Rs. 1$
Loss $ \%$ $=\Big(\frac{\text{Loss}}{\text{CP}}\Big)\times100$
$=\Big(\frac{1}{320}\Big)\times100$
$=0.31\%$
Loss $\% = 0.31\%$
View full question & answer→Question 53 Marks
A shopkeeper makes a profit of $15\%$ by selling a book for $Rs. 230$. What is the $C.P.$ and the actual profit?
AnswerGiven that the $SP$ of a book $= Rs. 230$
Profit $ \% = 15$
Since, $CP = (SP \times 100) + (100 +$ profit $ \%) CP$
$ = (230 \times 100) + (100 + 15) CP $
$= 23000 + 115 $
$= Rs. 200$
Also, Profit $= SP - CP = Rs. (230 - 200) = Rs. 30$ Actual profit $= Rs. 30$
View full question & answer→Question 63 Marks
A business man makes a $10\%$ profit by selling a toy costing him $Rs. 120$. What is the selling price?
Answer$CP = Rs. 12$ Profit $\% = 10$
We now that, $\text{SP}=\Big(\frac{100\ +\ \text{profit %}}{100}\Big)\times\text{CP}$
$=\Big(\frac{100\ +\ 10}{100}\Big)\times120$
$=\Big(\frac{110}{100}\Big)\times120$
$=1.1\times120$
$SP = Rs. 132$
View full question & answer→Question 73 Marks
Naresh bought $4$ dozen pencils at $Rs. 10.80$ a dozen and sold them for $80$ paise each. Find his gain or loss percent.
AnswerCost of $1$ dozen pencils $= Rs. 10.80$
Cost of $4$ dozen pencils $= 4 \times 10.80 = Rs. 43.2$
Selling price of each pencil $= 80$ paise
Total number of pencils $= 12 \times 4 = 48$
$SP$ of $48$ pencils $= 48 \times 80$ paise $= 3840$ paise $= Rs. 38.40$
Here, $SP < CP.$ Loss $= CP - SP = Rs. (43.2 - 38.4) = Rs. 4.8$
Loss $ \%$ $=\Big(\frac{\text{Loss}}{\text{CP }}\Big)\times100$
Loss $ \%$ $=\Big(\frac{4.8}{43.2}\Big)\times100$
$=\frac{480}{43.2}$
$=11.11\%$
Loss $ \% = 11.11%$
View full question & answer→Question 83 Marks
A grain merchant sold $600$ quintals of rice at a profit of $7\%$. If a quintal of rice cost him $Rs. 250$ and his total overhead charges for transportation, etc. were $Rs. 1000$, find his total profit and the selling price of $600$ quintals of rice.
AnswerCost of $1$ quintal of rice $= Rs. 250$
Cost of $600$ quintals of rice $= 600 \times 250 = Rs. 150000$
Overhead expenses $= Rs. 1000$
Total $CP = Rs. (150000 + 1000) = Rs. 151000$
Profit $ \%$ $=\Big(\frac{\text{Profit}}{\text{CP }}\Big)\times100$
$7=\Big(\frac{\text{Profit}}{151000}\Big)\times100$ $P = 1510 \times 7$
Profit $= Rs. 10570$ $SP = CP +$
Profit $= Rs. (151000 + 10570) SP = Rs. 161570$
View full question & answer→Question 93 Marks
A bookseller sells all his books at a profit of $10\%$. If he buys a book from the distributor at $Rs. 200$, how much does he sell it for?
AnswerGivenProfit $ \% = 10%$ and $CP = Rs. 200$
Since,
$\text{SP}=\Big(\frac{100\ +\ \text{profit %}}{100}\Big)\times\text{CP}$
$=\Big(\frac{100\ +\ 10}{100}\Big)\times200$
$=\Big(\frac{110}{100}\Big)\times200$
$=\text{Rs. }220$
The bookseller sells the book for $Rs. 220.$
View full question & answer→Question 103 Marks
Mr Virmani purchased a house for $Rs. 365000$ and spent $Rs. 135000$ on its repairs. If he sold it for $Rs. 550000$, find his gain percent.
AnswerAmount Mr. Virmani paid to purchase the house $= Rs. 365000$
Amount he spent on repair $= Rs. 135000$
Total amount he spent on the house $(CP) = Rs. (365000 + 135000)$
$= Rs. 500000 $
$SP$ of the house $= Rs. 550000$
Gain $= SP - CP = Rs. (550000 - 500000) = Rs. 50000$
Gain % $=\Big(\frac{\text{Gain}}{\text{CP }}\Big)\times100$
$=\Big(\frac{50000}{500000}\Big)\times100$
$=\frac{5000000}{500000}$ $=10\%$
Gain $ \% = 10\%$
View full question & answer→Question 113 Marks
Mr Virmani purchased a house for $₹ 365000$ and spent $₹ 135000$ on its repairs. If he sold it for $₹ 550000$, find his gain percent.
View full question & answer→Question 123 Marks
A vendor buys oranges at $₹ 26$ per dozen and sells them at 5 for $₹ 13$. Find his gain per cent.
View full question & answer→Question 133 Marks
Naresh bought 4 dozen pencils at $₹ 10.80$ a dozen and sold them for 80 paise each. Find his gain or loss percent.
AnswerLoss $=\frac{100}{9} \%$
View full question & answer→Question 143 Marks
A grain merchant sold 600 quintals of rice at a profit of $7 \%$. If a quintal of rice cost him $₹ 250$ and his total overhead charges for transportation, etc. were $₹ 1000$ find his total profit and the selling price of 600 quintals of rice.
AnswerProfit $= ₹ 10570$, Selling price $: ₹ 161570$
View full question & answer→Question 153 Marks
By selling an article for ₹ 240 , a man makes a profit of $20 \%$. What is his C.P. ? What would his profit percent be if he sold the article for ₹ 275 ?
View full question & answer→Question 163 Marks
A florist buys 100 dozen roses at $₹ 2$ a dozen. By the time the flowers are delivered, 20 dozen roses are mutilated and are thrown away. At what price should he sell the rest if he needs to make a $20 \%$ profit on his purchase?
View full question & answer→Question 173 Marks
A bookseller sells all his books at a profit of $10 \%$. If he buys a book from the distributor at $₹ 200$, how much does he sell it for?
View full question & answer→Question 183 Marks
A shopkeeper makes a profit of $15 \%$ by selling a book for $₹ 230$. What is the C.P. and the actual profit?
AnswerC.P. = ₹ 200, Profit = ₹ 30
View full question & answer→Question 193 Marks
Jyotsana bought 400 eggs at $₹ 8.40$ a dozen. At what price per hundred must she sell them so as to earn a profit of $15 \%$ ?
View full question & answer→Question 203 Marks
A woman bought 50 dozen eggs at $₹ 6.40$ a dozen. Out of these 20 eggs were found to be broken. She sold the remaining eggs at 55 paise per egg. Find her gain or loss percent.
Answer$\frac{5}{16} \%$ loss
View full question & answer→Question 213 Marks
Harish purchased 50 dozen bananas for $₹ 135$. Five dozen bananas could not be sold because they were rotten. At what price per dozen should Harish sell the remaining bananas so that he makes a profit of $20 \%$ ?
View full question & answer→Question 223 Marks
A business man makes a $10 \%$ profit by selling a toy costing him $₹ 120$. What is the selling price?
View full question & answer→Question 233 Marks
Shikha purchased a wrist watch for $₹ 840$ and sold it to her friend Vidhi for $₹ 910$. Find her gain percent.
View full question & answer→