Multiple choice

A person has left an amount of Rs. 1,20,000 to be divided between his 2 sons aged 14 years and 12 years such that they get equal amounts when each attains 18 years of age at the rate of 5% simple interest per annum. Then what was the share of younger son at present? एक व्यक्ति 1,20,000 रू. अपने दो, 12 वर्ष एवं 14 वर्ष के दो पुत्रों इस प्रकार बाँटता है कि 5 प्रतिशत वार्षिक साधारण ब्याज की दर से दोनों को 18 वर्ष की आयु पर समान धन प्राप्त हो तो छोटे पुत्र की वर्तमान में कितनी राशि है?

  1. 48800

  2. 57600

  3. 62400

  4. 84400

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B Correct answer
Explanation

Younger son (12 years) waits 6 years, older son (14 years) waits 4 years. At 18, both get equal amounts: Y(1 + 5×6/100) = O(1 + 5×4/100), so 1.3Y = 1.2O, meaning Y = 12O/13. With Y + O = 1,20,000, we get 25O/13 = 1,20,000, so O = 62,400 and Y = 57,600.