Question
Ravi shared Rs. (x + 3600) between his two kids, Arjun
and Bharat, in the ratio of 5:3. Arjun put his share in a simple interest scheme at 10% p.a. for 4 years, while Bharat did the same at 12% p.a. for 3 years. If the total interest they earned was Rs. 3360, find the value of ‘x’.Solution
ATQ,
Let shares of Arjun and Bharat be Rs. 5y and Rs. 3y, respectively. Interest by Arjun = 0.10 × 4 × 5y = 2y Interest by Bharat = 0.12 × 3 × 3y = 1.08y Total Interest = 2y + 1.08y = 3.08y 3.08y = 3360 y = 1090 So total amount = 5y + 3y = 8y = 8 × 1090 = 8720 Given: x + 3600 = 8720 ⇒ x = 5120
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