# Rs. 1,690 was divided among Ram, Bhanu, and Shyam. If each of them had received Rs. 30 less, their shares would have been in the ratio of 2 ∶ 5 ∶ 1, f

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Rs. 1,690 was divided among Ram, Bhanu, and Shyam. If each of them had received Rs. 30 less, their shares would have been in the ratio of 2 ∶ 5 ∶ 1, find the money received by Ram.

1. Rs. 430
2. Rs. 480
3. Rs. 400
4. Rs. 560
5.

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Correct Answer - Option 1 : Rs. 430

Given:

Total money = Rs. 1690

Each person received Rs. 30 less, then

The ratio of their shares = 2 ∶ 5 ∶ 1

Calculation:

Let the ratio of their shares be 2x, 5x and x respectively

According to the question,

If each of them received Rs. 30 less, then

Total money = 1690 - (3 × 30)

⇒ Rs. 1,600

2x + 5x + x = 1600

⇒ 8x = 1600

⇒ x = 200

Now, money received by Ram = 2x + 30

⇒ 2 × 200 + 30

⇒ Rs. 430

∴ The money received by Ram is Rs. 430.