Question 55

6 pencils cost ₹30 and 12 pens cost ₹120. What is the average cost of 50 pencils and 50 pens?

Solution

6 pencils cost ₹30.

Cost of one pencil = $$\frac{30}{6}$$

= ₹5

12 pens cost ₹120.

Cost of one pen = $$\frac{120}{12}$$

= ₹10

Average cost of 50 pencils and 50 pens = $$\frac{50\times\ 5+50\times10}{50+50}$$

= $$\frac{250+500}{100}$$

= $$\frac{750}{100}$$

= 7.5

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