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The weights of Mr. Gupta and Mrs. Gupta are in the ratio 7: 8 and their total weight, combined is 120 kg. After taking a dieting course Mr. Gupta reduces by 6 kg and the ratio between their weights changes to 5: 6. So, Mrs. Gupta has reduced by 
  • a)
    2 kg 
  • b)
    4 kg 
  • c)
    3 kg 
  • d)
    5 kg 
Correct answer is option 'B'. Can you explain this answer?
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The weights of Mr. Gupta and Mrs. Gupta are in the ratio 7: 8 and thei...
To solve this problem, we can use the concept of ratios and algebraic equations.

Let's assume the weights of Mr. Gupta and Mrs. Gupta are 7x kg and 8x kg respectively. We are given that their total weight combined is 120 kg. So, we can write the equation as:

7x + 8x = 120

Combining like terms, we get:

15x = 120

Dividing both sides by 15, we get:

x = 8

So, Mr. Gupta's weight is 7x = 7 * 8 = 56 kg, and Mrs. Gupta's weight is 8x = 8 * 8 = 64 kg.

According to the given information, Mr. Gupta reduces his weight by 6 kg. So, his new weight becomes 56 - 6 = 50 kg.

The ratio between their weights changes to 5:6. Let's assume the new weight of Mrs. Gupta is y kg. So, the new ratio can be written as:

50:y = 5:6

Cross-multiplying, we get:

5y = 6 * 50

Simplifying, we get:

5y = 300

Dividing both sides by 5, we get:

y = 60

Mrs. Gupta's new weight is 60 kg.

To find the reduction in Mrs. Gupta's weight, we can subtract her new weight from her original weight:

Reduction = 64 - 60 = 4 kg

Therefore, the correct answer is option B) 4 kg.
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The weights of Mr. Gupta and Mrs. Gupta are in the ratio 7: 8 and their total weight, combined is 120 kg. After taking a dieting course Mr. Gupta reduces by 6 kg and the ratio between their weights changes to 5: 6. So, Mrs. Gupta has reduced bya)2 kgb)4 kgc)3 kgd)5 kgCorrect answer is option 'B'. Can you explain this answer?
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