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The weight of Mr. Gupta and Mrs. Gupta are in the ratio 7 : 8 and their total weight 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
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- 2 kg
- 4 kg
- 3 kg
- 5 kg
Correct Option: B
Let the initial weights of Mr. Gupta and Mrs. Gupta be 7x and 8x kg respectively.
∴ 7x + 8x = 120
⇒ 15x = 120
| ⇒ x = | = 8 | |
| 15 |
∴ Mr. Gupta’s weight = 7 × 8 = 56 kg
Mrs. Gupta’s weight = 8 × 8 = 64 kg
Let Mrs. Gupta reduce her weight by y kg.
| ∴ | = | ||
| 64 − y | 6 |
| ⇒ | = | ||
| 64 − y | 6 |
⇒ 64 – y = 60
⇒ y = 64 – 60 = 4 kg
