The difference between two numbers is 50. If 40% of the larger number is equal to 60% of the smaller number, find the sum of the two numbers. MCQ with Answer and Explanation

Question

The difference between two numbers is 50. If 40% of the larger number is equal to 60% of the smaller number, find the sum of the two numbers.

A. 275

B. 250

C. 200

D. 225

Answer: Option B

Solution (By JKSSB Mock Tests)

0.4L = 0.6S → L/S = 3/2 → L = 3k, S = 2k. L - S = k = 50 → k=50. L=150, S=100, sum = 250.

This question belongs to: Maths Percentage

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Question #1

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A man's monthly salary is Rs. 20000. He spends 20% on rent and 30% of the remaining on food. How much does he save?

A. 10000

B. 14000

C. 12000

D. 11200

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Correct Answer: Option D

Explanation:
Remaining after rent = 80% of 20000 = 16000. Spent on food = 30% of 16000 = 4800. Savings = 16000 - 4800 = 11200.

This question belongs to: Maths Percentage

Question #2

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A number decreased by 15% becomes 170. Original number is:

A. 195

B. 190

C. 200

D. 205

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Correct Answer: Option C

Explanation:
0.85x = 170 → x = 200.

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Question #3

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A shopkeeper sells an article at 20% profit. If bought at 20% less and sold for Rs. 10 less, gain would be 25%. Find CP.

A. Rs. 50

B. Rs. 45

C. Rs. 40

D. Rs. 55

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Correct Answer: Option A

Explanation:
CP = x, SP = 1.2x. New CP = 0.8x, new SP = 1.2x - 10. New SP = 1.25×0.8x = x. So 1.2x - 10 = x → 0.2x = 10 → x = 50.

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