CAT Question > A combo pack having a bulb and a tube light ...

A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?

- a)Rs.8
- b)Rs.9
- c)Rs.10
- d)Rs.10

Correct answer is option 'D'. Can you explain this answer?

Cost of a tubelight = t and cost of a bulb = b.

t + b = 52

cost of bulb drops by 20% and cost of tubelight increases by 50%

⇒1.5t + 0.8b = 50

Solving the two equations in t and b

t + b = 52.......(i)

1.5t + 0.8b = 50.......(ii)

Multiplying (i) equation by 4 and (ii) equation by 5

4t + 4b = 2087.5t + 4b = 250

Subtracting

3.5 t = 42

⇒ t = 12

Thus, the cost of a tube light = Rs. 12

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A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer?.

A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?a)Rs.8b)Rs.9c)Rs.10d)Rs.10Correct answer is option 'D'. Can you explain this answer?.

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Cost of a tubelight = t and cost of a bulb = b.t + b = 52cost of bulb drops by 20% and cost of tubelight increases by 50%⇒1.5t + 0.8b = 50Solving the two equations in t and bt + b = 52.......(i)1.5t + 0.8b = 50.......(ii)Multiplying (i) equation by 4 and (ii) equation by 54t + 4b = 2087.5t + 4b = 250Subtracting3.5 t = 42⇒ t = 12Thus, the cost of a tube light = Rs. 12