Question

In the year 2010, Raj bought same amount of ballpen and pencil as he had bought in 2009, but he spend Rs.240 more due to price increase in ballpen and pencil by 20% and 15% respectively. If Raj had spent Rs. 300 on ballpen in 2009, then how much did he spend on pencil in 2010?

• A. 1295
• B. 1568
• C. 1440
• D. 1380

Hint:

Convert wheel circumference and revolutions into a speed, then convert units to km/h.

Answer 1

The Correct Option is D

Let Raj's 2009 spending on pencils be P. In 2010, his ballpen spending rises to \(300 \times 1.20 = 360\), and his pencil spending rises to \(1.15P\).
Since the total spending increase is Rs. 240, \((360 + 1.15P) - (300 + P) = 240\), which simplifies to \(60 + 0.15P = 240\), giving \(0.15P = 180\) and so \(P = 1200\).
The amount Raj spent on pencils in 2010 is therefore \(1.15 \times 1200 = 1380\), matching option 4.