If 30% of the first number plus 40% of the second number equals 60, and 40% of the first plus 30% of the second equals 66, find the first number. MCQ with Answer and Explanation

Question

If 30% of the first number plus 40% of the second number equals 60, and 40% of the first plus 30% of the second equals 66, find the first number.

A. 150

B. 140

C. 100

D. 120

Answer: Option D

Solution (By JKSSB Mock Tests)

0.3x+0.4y=60 → 3x+4y=600; 0.4x+0.3y=66 → 4x+3y=660. Solve: x=120.

This question belongs to: Maths Percentage

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Question #1

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If a number increased by 25% is 150, what is the original number?

A. 120

B. 100

C. 130

D. 110

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Correct Answer: Option A

Explanation:
Let the number be x. x * 1.25 = 150. x = 150 / 1.25 = 120.

This question belongs to: Maths Percentage

Question #2

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20% reduction in sugar price lets a person buy 5 kg more for Rs. 100. Reduced price per kg:

A. Rs. 5

B. Rs. 3

C. Rs. 4

D. Rs. 6

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Correct Answer: Option C

Explanation:
Original price x, consumption y, xy=100. New 0.8x(y+5)=100 → 0.8×100 + 4x =100 → x=5, reduced price=Rs.4.

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Question #3

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In an election, 20% of the votes were invalid. A got 55% of valid votes and won by 2000 votes. Total votes polled:

A. 24000

B. 25000

C. 28000

D. 22000

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Correct Answer: Option B

Explanation:
Valid votes V, margin 0.1V=2000 → V=20000. Total T, 0.8T=20000 → T=25000.

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