Question

Aditya has a certain number of pencils that cost ₹3 per piece. The total cost of all the pencils he had is 10 more than 4 times the number of pencils. If the total cost is ₹162, then how many pencils does Aditya have?

• A. 12
• B. 10
• C. 11
• D. 13

Answer 1

The correct option is C 11

Let the number of pencils that Aditya has be $x$.

Given, the number of pencils that cost ₹162 is 10 more than 4 times the number of pencils Aditya has.

Now, 4 times the number of pencils with Aditya = $4\times x=4x$
$10$ more than $4x$ = $4x+10$

Given, each pencil costs ₹3.
So, the cost of $4x+10$ pencils $=3\times (4x+10)=3(4x+10)$

But it is given that the cost of $4x+10$ pencils is ₹162.
$\Rightarrow 3(4x+10)=162$
$\Rightarrow 4x+10=\frac{162}{3}=54$
$\Rightarrow 4x=54-10=44$
$\Rightarrow x=\frac{44}{4}=11$

Thus, Aditya has 11 pencils.