Question

8. At a clearance sale books were sold 20% reduction. A student purchased a book for Rs. 120 at the
clearance sale. The usual price of the books was.
(a) Rs. 120 (b) Rs. 130 (c) Rs. 140 (d) Rs. 150 (e) None of these
noakor olaction candidates who got 40% of total votes was defeated​

Answer 1

Solutions :

Question 1

Let us assume that the original price of the book is Rs. X

Now, it is sold at a 20% reduction in cost .

Thus , new price becomes :

=> ( 100 - 20 )/( 100) of X

=> 80/100 x

But , this is Rs. 120

So,

80/100 x = 120

=> 80 x = 120 × 100

=> 80x = 12000

=> x = 150

Thus , the original price of the book is Rs. 150 .

Option D is the correct answer .

Question 2 :

An election candidate who got 40% of the total votes was defeated by x votes .

Find the total number of votes .

Let us assume that the total number of votes is v .

So , the candidate who got 40% of the total number of votes gets 40% of v

The other candidate who won gets 60% of v

The difference in the number of votes among them is x .

=> 60% of v - 40% of v = x

=> 20/100 v = x

=> ⅕ v = x

=> v = 5x

This is the required answer .

______________________________________

Answer 2

Qᴜᴇsᴛɪᴏɴ :

At a clearance sale, books were sold at 20% reduction. A student purchased a book for Rs. 120 at the clearance sale. The usual price of the book was,

(a) Rs.120, (b) Rs.130, (c) Rs.140, (d) Rs.150

Sᴏʟᴜᴛɪᴏɴ :

Lᴇᴛ,

• The usual price of book is Rs.x

➛ Books were sold at 20% reduction.

$:\longrightarrow\:\:\bf{Cost\:price\:=\:x\:-\:\dfrac{20}{100}x}$

$:\longrightarrow\:\:\bf{Cost\:price\:=\:x\:-\:\dfrac{x}{5}}$

$:\longrightarrow\:\:\bf{Cost\:price\:=\:\dfrac{4}{5}x}$

• A student purchased a book for Rs. 120.

$:\longrightarrow\:\:\bf{120\:=\:\dfrac{4}{5}x}$

$:\longrightarrow\:\:\bf{x\:=\:120\times{\dfrac{5}{4}}}$

$:\longrightarrow\:\:\bf{x\:=\:30\times{5}}$

$:\longrightarrow\:\:\bf\purple{x\:=\:150}$

$\Large\bf\green{Therefore,}$

(d) The usual price of the book was Rs. 150.