3 Mark Question

Question 13 Marks

A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25%. While selling the item, he offers 20% discount. Find how many more or less percent he gets on the decided price.

Answer

Here, price increase $=25 \%$,
discount offered $=20 \%$
Let the decided price be Rs 100
$\therefore$ Increase in price $=$ Rs 25
$\therefore$ Shopkeeper marks the price $=100+25$
$=$ Rs 125
$\therefore$ marked price $=$ Rs 125
Let the percentage of discount be $\mathrm{x}$
$
\begin{aligned}
& \therefore \mathrm{x}=20 \% \\
& \therefore \quad \text { Discount }=\frac{\text { marked price } \times x}{100} \\
&=\frac{125 \times 20}{100} \\
&=\frac{2500}{100} \\
&=₹ 25
\end{aligned}
$
$\therefore$ Selling price $=$ Marked price - Discount
$=125-25$
$=$ Rs 100
$\therefore$ If the decided price is Rs 100 , then shopkeeper gets Rs 100 .
$\therefore$ The shopkeeper gets neither more nor less than the decided price i.e. he gets $0 \%$ more / less.

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Question 23 Marks

After offering discount of 10% on marked price, a customer gets total discount of Rs 17. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.

Answer

Suppose, marked price of the item = 100 rupees Therefore, for customer that item costs 100 – 10 = 90 rupees.
Hence, when the discount is [10] then the selling price is [90] rupees.
Suppose when the discount is [17] rupees, the selling price is x rupees.

∴ The customer will get the item for Rs 153.

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Question 33 Marks

A shopkeeper gives 11% discount on a television set, hence the cost price of it is Rs 22,250. Then find the marked price of the television set.

Answer

Here, selling price $=$ Rs 22,250 , discount $=11 \%$
Let marked price be Rs 100
Since, the discount given $=11 \%$
$\therefore$ Amount of discount $=$ Rs 11
$\therefore$ Selling price $=100-11=$ Rs 89
$\therefore$ Let actual marked price be Rs $\mathrm{x}$
$\therefore$ For marked price of Rs $x$, selling price is Rs 22,250
$\therefore \quad \frac{89}{100}=\frac{22,250}{x}$
$\therefore \quad x \times 89=100 \times 22,250$
$\therefore \quad x=\frac{100 \times 22,250}{89}$
$=100 \times 250$
$\therefore \mathrm{x}=$ Rs 25,000
$\therefore$ The marked price of the television set is Rs 25,000 .

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Question 43 Marks

The marked price of a mixer is Rs 2300. A customer purchased it for Rs 1955. Find percentage of discount offered to the customer.

Answer

Here, marked price $=$ Rs 2300 ,
selling price = Rs 1955
i. Selling price = Marked price - Discount
$\therefore 1955=2300-$ Discount
$\therefore$ Discount $=2300-1955$
$=$ Rs 345
ii. Let the percentage of discount be $\mathrm{x}$
$
\begin{array}{ll}
& \frac{x}{100}=\frac{\text { Discount }}{\text { Marked price }} \\
\therefore \quad & \frac{x}{100}=\frac{345}{2300} \\
\therefore \quad & x=\frac{345}{2300} \times 100 \\
= & \frac{345}{23} \\
\therefore x=15 \%
\end{array}
$
$\therefore$ The percentage of discount offered to the customer is $15 \%$.

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Question 53 Marks

The marked price of the fan is Rs 3000. Shopkeeper gave 12% discount on it. Find the total discount and selling price of the fan.

Answer

Here, Marked price $=$ Rs 3000 , discount $=12 \%$
Let the percentage of discount be $x$.
$
\therefore x=12 \%
$
i. Discount
$
\begin{aligned}
& =\frac{\text { Marked price } \times x}{100} \\
& =\frac{3000 \times 12}{100} \\
& =30 \times 12 \\
& =\text { Rs } 360
\end{aligned}
$
ii. Selling price $=$ Marked price - Discount
$
\begin{aligned}
& =3000-360 \\
& =\text { Rs } 2640
\end{aligned}
$
$\therefore$ The total discount is Rs 360 and the selling price of the fan is Rs 2640 .

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Question 63 Marks

If selling price Rs 900, discount is 20%, then find the marked price.

Answer

Here, selling price $=$ Rs 900, discount $=20 \%$
Let the marked price be Rs 100
Since, the discount given $=20 \%$
$\therefore$ Amount of discount $=$ Rs 20
$\therefore$ Selling price $=100-20-$ Rs 80
Let actual marked price be Rs $x$
$\therefore$ For marked price of Rs $x$, selling price is Rs 900
$\frac{80}{100}=\frac{900}{x}$
$\therefore 80 \times x=100 \times 900$
$\therefore x=\frac{100 \times 900}{80}$
$\therefore x=\operatorname{Rs} 1125$
$\therefore$ The marked price is Rs 1125 .

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Question 73 Marks

If marked price Rs 990 and percentage of discount is 10, then find the selling price.

Answer

Here, marked price $=$ Rs 990,
discount $=10 \%$
Let the percentage of discount be $x$
$\therefore x=10 \%$
i. Discount
$=\frac{\text { Marked price } \times x}{100}$
$=\frac{990 \times 10}{100}$
$=\operatorname{Rs} 99$
ii. Selling price $=$ Marked price - Discount
$=990-99$
$=$ Rs 891
$\therefore$ The selling price is Rs 891 .

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Question 83 Marks

If marked price = Rs 1700, selling price = Rs 1540, then find the discount.

Answer

Here, Marked price = Rs 1700,
selling price = Rs 1540
Selling price = Marked price – Discount
∴ 1540 = 1700 – Discount
∴ Discount = 1700 – 1540
= Rs 160
∴ The amount of discount is Rs 160.

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