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Manu invested 15% of his monthly salary in the FD and 10% in PPF. 3/25th of the remaining amount spent on clothing. 3/11th remaining amount spent on food. 5/12thof remaining spent on education. The remaining amount is invested in a scheme which offers 10% Simple interest from which after 5 years he got Rs. 16800 as the total amount. Find his monthly salary?

Manu invested 15% of his monthly salary in the FD and 10% in PPF. 3/25th of the remaining amount spent on clothing. 3/11th remaining amount spent on food. 5/12thof remaining spent on education. The remaining amount is invested in a scheme which offers 10% Simple interest from which after 5 years he got Rs. 16800 as the total amount. Find his monthly salary? Correct Answer 40,000

Let, Manu’s monthly salary = Rs. x

∴ invested in FD = Rs. x × 15/100 = Rs. 0.15x

∴ invested in PPF = Rs. x × 10/100 = Rs. 0.1x

∴ spent on cloth = × 3/25 = 0.09x

∴ spent on food = × 3/11 = 0.18x

∴ spent on education = × 5/12 = 0.2x

∴ Remaining amount = x - (0.15x + 0.1x + 0.09x + 0.18x + 0.2x) = 0.28x

In case of simple interest,

Principal = Rs. 0.28x

Rate of interest = 10%

Time = 5 years

∴ Amount after 5 years,

⇒ 0.28x + 0.28x × 10 × 5/100

⇒ 0.42x

According to problem,

⇒ 0.42x = 16800

⇒ x = 16800/0.42

⇒ x = 40000

∴ Manu’s monthly salary = Rs. 40000

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