The price of 100 pens is 2500/3 and price of 50 pencils is 501/5. The price of 3 pens and 5 pencils is ???

Please find below the solution to the asked query:

Given : The price of 100 pens is $\frac{2500}{3}$ , So

Price of 1 pen = $\frac{{\displaystyle \frac{2500}{3}}}{100} = \frac{2500}{300} = \frac{\mathbf{25}}{\mathbf{3}}$

And price of 50 pencils is $\frac{501}{5}$ , So

Price of 1 pencil = $\frac{{\displaystyle \frac{501}{5}}}{50} = \frac{\mathbf{501}}{\mathbf{250}}$

Therefore,

The price of 3 pens and 5 pencils is = $3 \times \frac{25}{3} + 5\times \frac{501}{250} = 25 +\frac{501}{50}= \frac{1250+501}{50} = \mathbf{Rs}\mathbf{.}\mathbf{ }\frac{\mathbf{1751}}{\mathbf{50}}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{Rs}\mathbf{.}\mathbf{ }\mathbf{35}\mathbf{.}\mathbf{02}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)}$
Hope this information will clear your doubts about topic.