Question

A and B spend 40% and 45% of their income on food and transportation respectively. And 20% and 15% of their remaining amount spend on other expenses respectively. What is the ratio of their savings of A and B, If the income of A is Rs. 25000 and B is Rs. 30000.

1. 187 : 170
2. 145 : 185
3. 150 : 190
4. 160 : 187
5. 180 : 200

Answer 1

Correct Answer - Option 4 : 160 : 187

Given:

The income of A is Rs. 25000

The income of B is Rs. 30000

Formula:

Saving = Income – Expenditure

Calculation:

According to problem

Expenditure of A on food and transportation = \(\frac{{25000 \times 40}}{{100}}\)

⇒ Rs. 10000 

The remaining amount of A will be = 25000 - 10000

⇒ Rs. 15000 

Expenditure of A on others = \(\frac{{15000 \times 20}}{{100}}\)

⇒ Rs. 3000 

Saving of A = Income – Total expenditure

⇒ 25000-10000-3000

⇒ Rs. 12000 

∴ Saving of A is  Rs 12000

Now,

Expenditure of B on food and transportation = \(\frac{{30000 \times 45}}{{100}}\)

⇒ Rs. 13500 

The remaining amount of B = 30000 – 13500

⇒ Rs. 16500 

Expenditure of B on other expenses =  \(\frac{{16500 \times 15}}{{100}}\)

⇒ Rs. 2475 

Saving of B = Income – total expenditure

⇒ 30000 – 13500 – 2475

⇒ Rs. 14025 

∴ Saving of B is Rs. 14025

The ratio of A and B = 12000 : 14025

⇒ 160 : 187

The required ratio is 160 : 187