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Splitting a travel budget

A team's travel budget of ₹90,000 is split between flights, hotels and meals in the ratio 5 : 3 : 1. Flights later cost 10% less than budgeted, and the saving is added to meals.

What is the final meals budget?

Show the answer and the worked solution

Correct answer: C.

₹15,000

Worked solution

  1. One part = 90,000 / 9 = 10,000. Flights = 50,000, hotels = 30,000, meals = 10,000.
  2. Flights cost 10% less: a saving of 5,000.
  3. Meals = 10,000 + 5,000 = ₹15,000.

Answer: ₹15,000.

The idea

Convert the ratio into money once, then treat the adjustments as ordinary arithmetic. Re-deriving the ratio after each change is where these questions become slow.

Shortcut. Stay in parts: a 10% saving on flights' 5 parts is half a part, so meals rise from 1 part to 1.5 parts, and one part is 90,000 ÷ 9 = 10,000: ₹15,000.

Common trap. ₹10,000 is the original meals budget (one ninth of 90,000); converting the ratio correctly and forgetting to add the ₹5,000 flight saving gives it.

Splitting a travel budget — Caselets Aptitude Question

Splitting a travel budget: A team's travel budget of ₹90,000 is split between flights, hotels and meals in the… Answer and worked solution on CodeKairo.

Question

A team's travel budget of ₹90,000 is split between flights, hotels and meals in the ratio 5 : 3 : 1. Flights later cost 10% less than budgeted, and the saving is added to meals.

What is the final meals budget?

Options

  1. ₹10,000
  2. ₹12,500
  3. ₹15,000
  4. ₹17,500
Show the answer and the worked solution

Correct answer: C. ₹15,000

Worked solution

  1. One part = 90,000 / 9 = 10,000. Flights = 50,000, hotels = 30,000, meals = 10,000.
  2. Flights cost 10% less: a saving of 5,000.
  3. Meals = 10,000 + 5,000 = ₹15,000.

Answer: ₹15,000.

The idea

Convert the ratio into money once, then treat the adjustments as ordinary arithmetic. Re-deriving the ratio after each change is where these questions become slow.

Shortcut. Stay in parts: a 10% saving on flights' 5 parts is half a part, so meals rise from 1 part to 1.5 parts, and one part is 90,000 ÷ 9 = 10,000: ₹15,000.

Common trap. ₹10,000 is the original meals budget (one ninth of 90,000); converting the ratio correctly and forgetting to add the ₹5,000 flight saving gives it.

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