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Sarah keeps aside 25% of her monthly salary as petty cash and she divides the remaining salary into two funds expenditure and investments in the respective ratio of 2 : 1. She makes only two types of Investment- PPF, and MFs, in the respective ratio of 3 : 2. If the sum she keeps as petty cash is Rs. 5400 more than that she invests in MF, what is Sarah's monthly salary?

Sarah keeps aside 25% of her monthly salary as petty cash and she divides the remaining salary into two funds expenditure and investments in the respective ratio of 2 : 1. She makes only two types of Investment- PPF, and MFs, in the respective ratio of 3 : 2. If the sum she keeps as petty cash is Rs. 5400 more than that she invests in MF, what is Sarah's monthly salary? Correct Answer Rs. 36,000

GIVEN:

Sarah keeps aside 25% of her monthly salary as petty cash.

She divides the remaining salary into two funds expenditure and investments in the respective ratio of 2 : 1.

She makes only two types of Investment- PPF, and MFs, in the respective ratio of 3 : 2.

CONCEPT:

Percentage and ratio concepts.

CALCULATION:

Suppose total salary of Sarah = Rs. P

Amount of money kept aside as petty cash = 25 / 100 × P = 0.25P

⇒ Remaining salary = P - 0.25P = 0.75P

Amount of money put into investments = 0.75P × 1 / 3 = 0.25P

⇒ Amount of money invested in MF = 0.25P × 2 / 5 = 0.1P

Accordin to the question,

0.25P - 0.1P = 5400

⇒ 0.15P = 5400

⇒ P = 36000

∴ Sarah's monthly salary = Rs. 36,000

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