Question 14 Marks
Levi's having a sale where everything is a discount of $30\%.$ How much would a pair of jeans priced at $Rs.1750$ cost?
AnswerGiven,$ M.P.$ of a pair of jeans $=\text { Rs. } 1750 $
Discount$=30 \% $
$ \frac{\text { S.P. }}{\text { M.P. }}=1-\frac{\text { discount }}{100} $
$ \Rightarrow \frac{\text { S.P. }}{1750}=1-\frac{30}{100} $
$ \Rightarrow \text { S.P. }=\frac{70}{100} \times \text { Rs. } 1750$
$=\text { Rs. } 1225$
$ \therefore$ Amount paid by the customer for the pair of jeans $= Rs. 1225 .$
View full question & answer→Question 24 Marks
Find the amount paid by a customer when he buys a watch priced at $Rs.5400$ available at a discount of $12\%.$
AnswerGiven, $M.P.$ of the watch $= Rs. 5400$
Discount $=12 \% $
$\frac{\text { S.P. }}{\text { M.P. }}=1-\frac{\text { discount }}{100} $
$\Rightarrow \frac{\text { S.P. }}{5400}=1-\frac{12}{100} $
$\Rightarrow \text { S.P. }=\frac{88}{100} \times \text { Rs. } 5400 $
$=\text { Rs. } 4752$
$\therefore$ Amount paid by the customer for the watch $= Rs .4752$.
View full question & answer→Question 34 Marks
Find the discount percentage in the following $:M.P. = Rs.1960, S.P. = Rs.1176$
Answer$\text { M.P. }=\text { Rs. } 1960, \text { S.P. }=\text { Rs. } 1176 $
$\frac{\text { S.P. }}{\text { M.P. }}=1-\frac{\text { discount }}{100}$
$ \Rightarrow \frac{1176}{1960}=1-\frac{D}{100} $
$ \Rightarrow \frac{D}{100}=1-\frac{1176}{1960} $
$\Rightarrow D=\frac{784}{1960} \times 100 $
$ =40 $
$ \therefore$ Discount $=40 \% .$
View full question & answer→Question 44 Marks
Find the discount percentage in the folllowing $:M.P. = Rs.6840, S.P. = Rs.5814$
Answer$\text { M.P. }=\text { Rs. } 6840, \text { S.P. }=\text { Rs. } 5814$
$\frac{S . P .}{M . P .}=1-\frac{\text { discount }}{100} $
$ \Rightarrow \frac{5814}{6840}=1-\frac{D}{100} $
$\Rightarrow \frac{D}{100}=1-\frac{5814}{6840}$
$\Rightarrow D=\frac{1026}{6840} \times 100$
$=15 $
$ \therefore$ Discount$=15 \% .$
View full question & answer→Question 54 Marks
Find the discount percentage in the following $:M.P. = Rs.1500, S.P.= Rs.1320$
Answer$\text { M.P. }=\text { Rs. } 1500, \text { S.P. }=\text { Rs. } 1320 $
$ \frac{S . P .}{M . P .}=1-\frac{\text { discount }}{100} $
$ \Rightarrow \frac{1320}{1500}=1-\frac{D}{100} $
$ \Rightarrow \frac{D}{100}=1-\frac{1320}{1500}$
$\Rightarrow D=\frac{180}{1500} \times 100 $
$=12$
$ \therefore$ Discount $=12 \% .$
View full question & answer→Question 64 Marks
A shopkeeper allows a discount of $12.5\%$ on the marked price and makes a profit of $20\%$. If the cost price is $Rs.4200,$ what should be the marked price?
AnswerGiven,$ \text {C.P. }=\text { Rs. } 4200$
Profit$=20 \% $
$\frac{\text { S.P. }}{\text { C.P. }}=1+\frac{\text { gain }}{100} $
$ \Rightarrow \frac{\text { S.P. }}{4200}=1+\frac{20}{100}$
$\Rightarrow \text { S.P. }=4200 \times \frac{120}{100} $
$ =\text { Rs. } 5040$
Now,$\text { S.P. }=\text { Rs. } 5040$
Discount $=12.5 \% $
$\frac{\text { S.P. }}{\text { M.P. }}=1-\frac{\text { discount }}{100} $
$\Rightarrow \frac{5040}{\text { M.P. }}=1-\frac{12.5}{100} $
$ \Rightarrow \text { M.P. }=\frac{100}{87.5} \times \text { Rs. } 5040 $
$ =\text { Rs. } 5760 .$
View full question & answer→Question 74 Marks
A dealer is selling an article marked $Rs.8000$ at a discount of $15\%.$ Find the selling price and the cost price if the marked price is $25\%$ above the cost price.
AnswerGiven,$\text { M.P.}$ of an article $=\text { Rs. } 8000 $
Discount $=15 \%$
$ \frac{\text { S.P. }}{\text { M.P. }}=1-\frac{\text { discount }}{100}$
$ \Rightarrow \frac{\text { S.P. }}{8000}=1-\frac{15}{100} $
$ \Rightarrow \text { S.P. }=\frac{85}{100} \times \text { Rs. } 8000 $
$=\text { Rs. } 6800 $
$ \therefore$ Selling price of the article$=\text { Rs. } 6800$
Now, gain $=25 \% $
$\frac{\text { S.P. }}{\text { C.P. }}=1+\frac{\text { gain }}{100} $
$ \Rightarrow \frac{6800}{\text { C.P. }}=1+\frac{25}{100}$
$\Rightarrow \text { C.P. }=6800 \times \frac{100}{125} $
$=\text { Rs. } 5440 .$
View full question & answer→Question 84 Marks
A bookseller gives $8\%$ discount on the printed price. What does a customer pay for a book priced at $Rs. 150$?
Answer$\text { M.P. }=\text { Rs. } 150,$
discount $=8 \%$
To find the amount paid by the customer, that is, the $S.P.$
$\text { S.P. }=\left(1-\frac{d}{100}\right)$ of $\text { M.P. } $
$\Rightarrow S . P .=\left(1-\frac{8}{100}\right) \times 150 $
$\Rightarrow S . P .=\frac{92}{100} \times 150 $
$\Rightarrow \text { S.P. }=\text { Rs. } 138$
Hence, the amount paid by the customer is $Rs. 138 .$
View full question & answer→Question 94 Marks
Find the discount percentage in the following:$M.P. = Rs. 6840, S.P. = Rs. 5814$
Answer$\text { M.P. }=\text { Rs. } 6840, \text { S.P. }=\text { Rs. } 5814$
Discount$=\text { M.P. }- \text { S.P. }$
$ \Rightarrow$ Discount =$\text { Rs. } 6840-\text { Rs. } 5814$
$ \Rightarrow$ Discount $=\text { Rs. } 1026 $
Discount percentage
$ =\left(\frac{1026}{6840} \times 100\right) \% $
$ =15 \% .$
View full question & answer→Question 104 Marks
Find the discount percentage in the following:$M.P. =Rs. 1500, S.P. = Rs. 1320$
Answer$\text { M.P. }=\text { Rs. } 1500, \text { S.P. }=\text { Rs. } 1320 $
Discount $=\text { M.P. }- \text { S.P. } $
$ \Rightarrow$ Discount $=\text { Rs. } 1500-\text { Rs. } 1320 $
$\Rightarrow$ Discount$=\text { Rs. } 180 $
Discount percentage
$ =\left(\frac{\text { discount }}{\text { M.P. }} \times 100\right) \% $
$ =\left(\frac{180}{1500} \times 100\right) \% $
$ =12 \% .$
View full question & answer→Question 114 Marks
Find the $M.P.$ in the following:$S.P. = Rs. 1245,$ Discount $= 17\%$
Answer$\text { S.P. }=\text { Rs. } 1245,$
Discount $=17 \% $
$ \text { S.P. }=\left(1-\frac{d}{100}\right)$ of $\text { M.P. } $
$ \Rightarrow 1245=\left(1-\frac{17}{100}\right) \times \text { M.P. } $
$ \Rightarrow 1245=\frac{83}{100} \times \text { M.P. }$
$ \Rightarrow \text { M.P. }=\frac{1245 \times 100}{83}$
$ \Rightarrow \text { M.P. }=\text { Rs. } 1500 .$
View full question & answer→Question 124 Marks
Find the $M.P.$ in the following:$S.P. =Rs. 1892,$ Discount $=14\%$
Answer$\text { S.P. }=\text { Rs. } 1892,$
Discount $=14 \% $
$ \text { S.P. }=\left(1-\frac{d}{100}\right)$ of $\text {M.P. }$
$ \Rightarrow 1892=\left(1-\frac{14}{100}\right) \times \text { M.P. } $
$ \Rightarrow 1892=\frac{86}{100} \times \text { M.P. } $
$ \Rightarrow \text { M.P. }=\frac{1892 \times 100}{86} $
$ \Rightarrow \text { M.P. }=\text { Rs. } 2200 .$
View full question & answer→Question 134 Marks
The list price of a watch is $Rs.4000.$ It is available either at $25\%$ flat discount or at successive discounts of $15\%$ and $12\%.$ Calculate the better offer and the amount paid in the second offer.
AnswerList the price $=R s, 4000$
Case $1:$
$S.P. =\left(1-\frac{ d }{100}\right)$ of $M.P.($List price$)$
$\Rightarrow \text { S.P. }=\left(1-\frac{25}{100}\right) $
$\Rightarrow \text { S.P. }=\frac{75}{100} \times 4000$
$\Rightarrow \text { S.P. }=\text { Rs. } 3000$
Case $2:$
$S.P. =\left(1-\frac{ d _1}{100}\right)\left(1-\frac{ d _2}{100}\right)$ of $M.P.$
$\text { S.P. }=\left(1-\frac{15}{100}\right)\left(1-\frac{12}{100}\right) \times 4000 $
$\Rightarrow \text { S.P. }=\frac{85}{100} \times \frac{88}{100} \times 4000 $
$\Rightarrow \text { S.P. }=\text { Rs. } 2992$
Since in the second case the $S.P.$ is lesser,
so the second offer is better.
The amount paid in the second offer is $Rs. 2292.$
View full question & answer→Question 144 Marks
Find the $S.P.$ in the following:$M.P. =Rs. 5500,$ Discount $= 30\%$
Answer$\text { M.P. }=\text { Rs. } 5500$, Discount $=30 \% $
Discount $\%=\left(\frac{\text { discount }}{\text { M.P. }} \times 100\right) $
$\Rightarrow 30=\left(\frac{\text { discount }}{5500} \times 100\right) $
$\Rightarrow \frac{30 \times 5500}{100}=$ discount
$\Rightarrow$ discount $=\text { Rs. } 1650 $
$\text { S.P. }=\text { M.P. }-$ discount
$=\text { Rs. } 5500-\text { Rs. } 1650 $
$=\text { Rs. } 3850$
Hence, the $S.P.$ is $Rs. 3850 .$
View full question & answer→Question 154 Marks
Find the $S.P.$ in the following:$M.P. =Rs. 850,$ Discount $= 16\%$
Answer$\text { M.P. }=\text { Rs. } 850,$ Discount$=16 \% $
Discount $ \%=\left(\frac{\text { discount }}{\text { M.P. }} \times 100\right) $
$\Rightarrow 16=\left(\frac{\text { discount }}{850} \times 100\right) $
$\Rightarrow \frac{16 \times 850}{100}$= discount
$\Rightarrow$ discount $=\text { Rs. } 136 $
$\text { S.P. }=\text { M.P. }-$ discount
$=\text { Rs. } 850-\text { Rs. } 136 $
$=\text { Rs. } 714$
Hence, the $S.P.$ is $Rs. 714 .$
View full question & answer→Question 164 Marks
Anant bought toffees at $5$ for a rupee. How many for a rupee must he sell to gain $25\%\ $?
Answer$\text { C.P.}$ of $5$ toffees $=\text { Rs. } 1 $
$\text { S.P. }$ of $5$ toffees
$=\left(\frac{100+\text { Profit } \%}{100}\right) \text { of C.P. } $
$=\left(\frac{100+25}{100}\right) \times \text { Rs. } 1 $
$v=125 \% \times \text { Rs. } 1 $
$=\text { Rs. } \frac{5}{4}$
For $Rs. \frac{5}{4}$, toffees sold $=5$
For $Rs. 1,$ toffees sold $=\left(5 \times \frac{4}{5}\right)=4$
Hence, $4$ toffees were sold to gain $25 \%$.
View full question & answer→Question 174 Marks
A shirt was sold for $Rs.1265$ at a gain of $15\%.$ Had the selling price been $Rs.55$ more, the gain would have been $20\%.$ Find the cost price of the shirt.
Answer$\text { S.P.}$ of the shirt
$ =\text { Rs. } 1265+\text { Rs. } 55 $
$ =\text { Rs. } 1320 \|$ Gain $=20 \% $
$ \frac{\text { S.P. }}{\text { C.P. }}=1+\frac{\text { Profit }}{100} $
$\Rightarrow \frac{1320}{\text { C.P }}=1+\frac{20}{100}$
$ \Rightarrow \frac{1320}{\text { C.P. }}=\frac{120}{100} $
$ \Rightarrow \text { C.P. }=\frac{1320 \times 100}{120} $
$=\text { Rs. } 1100 .$
View full question & answer→Question 184 Marks
Find the selling price of a watch bought for $Rs.4050$ and sold at a loss of $14\%.$
Answer$C.P.$ of the watch $= Rs. 4050$
Loss $=14 \% $
$\frac{\text { S.P. }}{\text { C.P. }}=1-\frac{\text { Loss }}{100} $
$\Rightarrow \frac{\text { S.P. }}{4050}=1-\frac{14}{100} $
$\Rightarrow \frac{\text { S.P. }}{4050}=\frac{100-14}{100} $
$\Rightarrow \text { S.P. }=\frac{86}{100} \times 4050 $
$=\text { Rs. } 3483$
View full question & answer→Question 194 Marks
Find the selling price of a camera bought for $Rs.4600$ and sold at a profit of $15\%.$
Answer$C.P.$ of the camera $= Rs. 4600$
Profit $=15 \%$
$\frac{\text { S.P. }}{\text { C.P. }}=1+\frac{\text { Profit }}{100} $
$\Rightarrow \frac{\text { S.P. }}{4600}=1+\frac{15}{100} $
$\Rightarrow \frac{\text { S.P. }}{4600}=\frac{100+15}{100} $
$\Rightarrow \text { S.P. }=\frac{115}{100} \times 4600 $
$=\text { Rs. } 5290$
View full question & answer→Question 204 Marks
Find the loss percentage incurred by selling a watch for $Rs.1610$ that was purchased for $Rs.1750.$
Answer$ C.P.$ of the watch $=\text { Rs. } 1750 $
$ S.P.$ of the watch $=\text { Rs. } 1610 $
Loss $=\text { C.P. }- \text { S.P. }$
$ =\text { Rs. }(1750-1610)$
$=\text { Rs. } 140$
Loss $ \%=\frac{\text { Loss }}{\text { C.P. }} \times 100$
$ =\frac{140}{1750} \times 100 $
$ =8 \%$
View full question & answer→