Question
The earnings of Akshat and Beena are in the ratio 7:9,
respectively. Akshat utilizes 48% of his income and saves the remainder, while Beena spends Rs.2,000 less than what he saves. If the combined savings of Akshat and Beena amount to Rs.13,210, determine the income of Akshat.Solution
ATQ, Let the income of 'Akshat' = Rs. '700a' Then, income of 'Beena' = 700a × (9/7) = Rs. '900a' Savings of 'Akshat' = 700a ×(1 - 0.48) = Rs. '364a' Let the expenses of 'Beena' = Rs. 'P' Then, savings of 'Beena' = Rs. (P + 2000) We have, P + P + 2000 = 2P + 2000 = 900x So, P = (900a - 2000) ÷ 2 = (450x - 1000) So, savings of 'Beena' = 450a - 1000 + 2000 = Rs. (450a + 1000) According to the question, 364a + 450a + 1000 = 13210 Or, 814a = 13210 - 1000 = 12210 So, a = 12210 ÷ 814 = 15 Therefore income of 'Akshat' = 700a = 700 × 15 = Rs 10,500
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