Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120. Had Aman purchased 7 pens, 8 pencils and 11 scales, he would have to pay Rs. 192. Pankaj demanded 2 pens, 2 pencils and 2 scales. If Aman purchased only what was demanded by Pankaj, then how much would he have paid?

Correct option is B

Given:

Aman purchased 4 pens, 5 pencils, and 8 scales for Rs. 120.

Aman purchased 7 pens, 8 pencils, and 11 scales for Rs. 192.

Solution:

Let the cost of one pen be x, one pencil be y, and one scale be z.

4x + 5y + 8z = 120 .......(i) (from the first purchase)

7x + 8y + 11z = 192 .......(ii)  (from the 2nd purchase)​

Now, subtract Equation 1 from Equation 2:

(7x + 8y + 11z) - (4x + 5y + 8z) = 192 – 120

3x + 3y + 3z = 72

x + y + z = 24  ........(iii)

The cost for Pankaj's demand of 2 pens, 2 pencils, and 2 scales:

2(x + y + z) = $$2 \times 24$$​ = 48

So, Aman would have paid Rs.48

Thus, the correct option is (b) Rs. 48