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A father gives 1% of his monthly salary to his two sons as pocket money. The elder son gets 80% of the total amount given to the two sons and he spends 80% of his share. If he saves Rs 20 every month, then the monthly salary of the father is 

(a) Rs 10000 

(b) Rs 11500 

(c) Rs 12000 

(d) Rs 12500

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(d) Rs 12500

Let the father’s salary be Rs x. Then, 

Part of salary given to the two sons as pocket money =\(\frac{X}{100}\)

Share of the elder son = \(\frac{80}{100}\) x \(\frac{X}{100}\) = \(\frac{4X}{500}\)

Expenditure of the elder son =  \(\frac{80}{100}\) x \(\frac{4X}{500}\)

\(\frac{16X}{2500}\)

\(\therefore\) Savings of the elder son = \(\frac{4X}{500}\)\(\frac{16X}{2500}\) = \(\frac{4X}{2500}\)

Given, \(\frac{4X}{2500}\) = Rs 20

\(\Rightarrow\) x = Rs \(\frac{20\times 2500}{4}\) =Rs 12500.

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