Skip to main contentSkip to solution

Rita purchased 9 pens and 7 pencils for ₹ 66. Megha also bought 5 pens and 11 pencils of the same kind for ₹ 58. What is the cost of 3 pencils?

Solution

✅ Correct Option: 1

Let cost of 1 pen = ₹xx and cost of 1 pencil = ₹yy

Rita bought 9 pens and 7 pencils for ₹66:

9x+7y=669x + 7y = 66 ... (1)

Megha bought 5 pens and 11 pencils for ₹58:

5x+11y=585x + 11y = 58 ... (2)


Multiply equation (1) by 5:

45x+35y=33045x + 35y = 330 ... (3)

Multiply equation (2) by 9:

45x+99y=52245x + 99y = 522 ... (4)


Subtract equation (3) from equation (4):

45x+99y=52245x + 99y = 522

45x+35y=33045x + 35y = 330

64y=19264y = 192

y=19264y = \dfrac{192}{64}

y=3y = 3


Cost of 1 pencil = ₹3

Cost of 3 pencils = 3×33 \times 3

Cost of 3 pencils = ₹9

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question