Question

In the following table, from the information given in each example, find out the figures to fill in the blanks.

No.	Article	Marked Price (RS)	Discount Percent	Discount (Rs)	Selling Price (Rs)
(1)	Watch	250	12	−	−
(2)	Cupboard	4800	6	−	−
(3)	Bicycle	1800	−	180	−
(4)	Uniform	−	15	−	136
(5)	Books	1560	−	234	−

Answer 1

(1) Marked price of the watch = Rs 250
Discount percent = 12%
Discount = Marked Price × p.c. discount
= 250×12%

$=250\times \frac{12}{100}$
= Rs 30
Selling price =Marked Price − Discount = Rs 250 − Rs 30 = Rs 220
∴ The discount on the watch = Rs 30
The selling price of the watch is Rs 220.

(2) Marked price of the cupboard = Rs 4800
Discount percent = 6%
Discount = Marked Price × p.c. discount
= 4800×6%
$=4800\times \frac{6}{100}$
= Rs 288
Selling price =Marked Price − Discount = Rs 4800 − Rs 288 = Rs 4512
∴ The discount on the cupboard = Rs 288
The selling price of the cupboard is Rs 4512.

(3) Marked price of the bicycle = Rs 1800
Discount on the bicycle = Rs 180
Let the percent discount be x %.
Discount = Marked Price × p.c. discount
⇒ 180 = 1800 × x %
$$\begin{gathered} \Rightarrow 180=1800\times \frac{x}{100} \\ \Rightarrow x=\frac{180\times 100}{1800} \end{gathered}$$
⇒ x = 10
Selling price = Marked Price − Discount
⇒ Selling price = Rs 1800 − Rs 180
⇒ Selling price = Rs 1620
∴ The discount on the bicycle is 10%.
The selling price of the bicycle is Rs 1620.

(4) Selling price of the uniform = Rs 136
Discount percent = 15%
Let the marked price be Rs x.
Discount = Marked Price × p.c. discount
= x × 15%
$=\frac{15x}{100}$
Selling price =Marked Price − Discount
$$\begin{gathered} \Rightarrow 136=x-\frac{15x}{100} \\ \Rightarrow 136=\frac{85x}{100} \\ \Rightarrow \frac{85x}{100}=136 \\ \Rightarrow x=\frac{136\times 100}{85} \\ \Rightarrow x=160 \end{gathered}$$

Discount = 15% of Rs 160 = $160\times \frac{15}{100}=\mathrm{Rs}24$
∴ The marked price of the camera is Rs 160.
Discount on the camera is Rs 24.

(5) Marked price of the books = Rs 1560
Discount on the books = Rs 234
Let the discount percent be x %.
Discount = Marked Price × p.c. discount
$$\begin{gathered} \Rightarrow 234=1560\times x\% \\ \Rightarrow 234=1560\times \frac{x}{100} \\ \Rightarrow x=\frac{234\times 100}{1560} \\ \Rightarrow x=15 \end{gathered}$$

Selling price = Marked Price − Discount
⇒ Selling price = Rs 1560 − Rs 234
⇒ Selling price = Rs 1326
∴ The discount percent on the bicycle is 15%.
The selling price of the bicycle is Rs 1326.