Question

Rs 1176 are divided into two parts in such a way that three-fifths of the first part and two-seventh of the second part is in the ratio 3 : 2. The first part is?
1. RS 686
2. Rs 782
3. Rs 510
4. Rs 490
5. Rs 440

Answer 1

Correct Answer - Option 4 : Rs 490

Given:

Amount = Rs 1176

3/5 of first : 2/7 of second = 3 : 2

Calculation:

Let the parts be a and b

So, 3a/5 : 2b/7 = 3 : 2

⇒ 21a/10b = 3/2

⇒ a/b = 5/7

⇒ a = 1176/12 × 5 = 490

∴ The first part is Rs. 490.