Question

Mr. Prasad shared his savings in the ratio 2 : 3 among his sons Devu and Chiru and in the same ratio between Chiru and Ajay. Had the ratio been reversed Chiru gets Rs. 60000 as his share. Find the Total savings of Mr. Prasad.

1. Rs. 190000
2. Rs. 120000
3. Rs. 109000
4. Rs. 100900

Answer 1

Correct Answer - Option 1 : Rs. 190000

Given:

Ratio of Devu and Chiru = 2 : 3

Ratio of Chiru and Ajay = 2 : 3

Share of Chiru = Rs 60000

If ratio is reversed then,

Ratio of Devu and Chiru = 3 : 2

Ratio of Chiru and Ajay = 3 : 2

Concept Used:

We have to find the ratio of chiru and equate it with the Amount given.

Calculation:

Ratio of Devu, Chiru and Ajay

Devu : Chiru = 2 : 3

Chiru : Ajay = 2 : 3

We need to equalise the ratio of Chiru

Devu : Chiru = (2 : 3) × 2 = 4 : 6

Chiru : Ajay = (2 : 3) × 3 = 6 : 9

 Devu : Chiru : Ajay = 4 : 6 : 9

If the ratio gets reversed,

Devu : Chiru = 3 : 2

Chiru : Ajay = 3 : 2

Here also we need to equalise the ratio of chiru

Devu : Chiru = (3 : 2) × 3 = 9 : 6

Chiru : Ajay = (3 : 2) × 2 = 6 : 4

Devu : Chiru : Ajay = 9 : 6 : 4

We see in both cases Chiru gets 6 Units

6 Units =  Rs. 60000

⇒ 1 Unit = 60000/6

⇒ 1 Unit = Rs. 10000

Total savings of Mr. Prasad = (4 + 6 + 9) = 19 Units

⇒ Total savings of Mr. Prasad = 19 × 10000

⇒ Total savings of Mr. Prasad = Rs. 190000

∴ The total savings of Mr. Prasad is Rs. 190000.