Question

X and Y invested Rs. 45,000 and Rs. 30,000, but Y left after p months and ratio of their profit after a year is 9 ∶ 4. What will be the value of p?
1. 9 months
2. 8 months
3. 6 months
4. 10 months
5. None of the above

Answer 1

Correct Answer - Option 2 : 8 months

Given:

X = Rs. 45,000

Y = Rs. 30,000

Y left after p months 

Ratio of profit of X to Y = 9 ∶ 4

Calculation:

Ratio of profit of X to Y = (45,000 × 12) ∶ (30,000 × p)

According to question 

(45,000 × 12) ∶ (30,000 × p) = 9 ∶ 4

⇒ (45 × 12)/(30 × p) = 9/4

⇒ 540/30p = 9/4

⇒ p = (540 × 4)/(9 × 30)

⇒ p = 8

∴ Value of p is 8 months