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Sonia had some money. She distributed the money among her employees. 15 % of the total amount she gave to Shabnam and kept 10 % for future use. Out of the remaining amount, she gave to Ankur and Arjun in the ratio of 2 ∶ 3 respectively. If the Arjun got Rs. 9000 more than the Ankur. What was the total amount that Sonia had?

Sonia had some money. She distributed the money among her employees. 15 % of the total amount she gave to Shabnam and kept 10 % for future use. Out of the remaining amount, she gave to Ankur and Arjun in the ratio of 2 ∶ 3 respectively. If the Arjun got Rs. 9000 more than the Ankur. What was the total amount that Sonia had? Correct Answer Rs. 60,000

Given:

Percentage of amount given to Shabnam = 15 %

Percentage of amount kept for future use = 10 %

Amount Arjun got = Rs. 9,000 + Amount Ankur received

Calculation:

Let the initial amount is Rs. x

Amount given to Shabnam = 15 % of x

⇒ 15x/100

Amount kept for future use = 10% of x

⇒ 10x/100

Remaining amount = x – (25x/100)

⇒ 75x/100

According to the question:

Amount received by Ankur = (2/5) × (75x/100)

Amount received by Arjun = (3/5) × (75x/100)

⇒ – = 9000

⇒ (225x/500) – (150x/500) = 9000

⇒75x/500 = 9000

⇒ x = (9000 × 500)/75

⇒ x = Rs. 60,000

∴ The initial amount was Rs. 60,000

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