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The total salary of Ankita, Benedict, and Christopher is Rs 3500. If they spend 80%, 56%, and 75% of their salaries respectively their savings are 12 : 33 : 10. Find the salary of Benedict.


1. 1500
2. 1200
3. 800
4. 1100

1 Answer

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Correct Answer - Option 3 : 800

Given:

Total salary = 3500

Calculation:

Ankita’s saving = 100 – 80

⇒ 20% of her salary

Benedict’s saving = 100 – 56

⇒ 44% of his salary

Christopher’s saving = 100 – 75

⇒ 25% of his salary

∴20/100 of her salary : 44/100 of his salary : 25/100 of his salary = 12 : 33 : 10

⇒ 20 × Ankita’s salary : 44 × Benedict’s salary : 25 × Christopher’s salary = 12 : 33 : 10

⇒20 × Ankita’s salary/44 × Benedict’s salary = 12/33

⇒Ankita’s salary : Benedict’s salary = 4 : 5

Similarly,

⇒44 × Benedict’s salary/25 × Christopher’s salary = 33/10

⇒Benedict’s salary : Christopher’s salary = 15 : 8

∴Ankita’s salary : Benedict’s salary = 4 : 5 ; Benedict’s salary : Christopher’s salary = 15 : 8

Taking Benedict as common we have,

Ankita : Benedict : Christopher = 12 : 15 : 8

The total salary of Ankita, Benedict, and Christopher = Rs. 3500

∴ salary of Benedict

⇒ 8/35 × 3500

⇒800

The salary of Benedict is 800.

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