If 25% of (P + Q) = 75% of (P - Q), then the value of P : Q is:1. 2 :

1.	If 25% of (P + Q) = 75% of (P - Q), then the value of P : Q is:1. 2 : 12. 3 : 13. 1 : 24. 1 : 3
Answer» Correct Answer - Option 1 : 2 : 1 Given: 25% of (P + Q) = 75% of (P - Q) Calculations: Solving the given equation, ⇒ (25/100) × (P + Q) = (75/100) × (P - Q) ⇒ (1/4) × (P + Q) = (3/4) × (P - Q) ⇒ (P + Q) = 3 × (P - Q) ⇒ P + Q = 3P - 3Q ⇒ 2P = 4Q ⇒ P = 2Q ⇒ P/Q = 2/1 ∴ The value of P ∶ Q is 2 ∶ 1

If 25% of (P + Q) = 75% of (P - Q), then the value of P : Q is:1. 2 : 12. 3 : 13. 1 : 24. 1 : 3

Answer» Correct Answer - Option 1 : 2 : 1

Given:

25% of (P + Q) = 75% of (P - Q)

Calculations:

Solving the given equation,

⇒ (25/100) × (P + Q) = (75/100) × (P - Q)

⇒ (1/4) × (P + Q) = (3/4) × (P - Q)

⇒ (P + Q) = 3 × (P - Q)

⇒ P + Q = 3P - 3Q

⇒ 2P = 4Q

⇒ P = 2Q

⇒ P/Q = 2/1

∴ The value of P ∶ Q is 2 ∶ 1

Discussion

No Comment Found

Related InterviewSolutions

A person spends 10% of his income on medical, 20% of his income spend on traveling, and the rest of his income spend on others. If the expenditure on others is Rs. 3500 then, find the total income?1. Rs. 60002. Rs. 40003. Rs. 45004. Rs. 50005. None of these
Kajal spends 55% of her monthly income on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively. If the amount spent on clothes is Rs.5540/-, what is Kajal's monthly income?(a) Rs.55,400/- (b) Rs.54,500/- (c) Rs.55,450/- (d) Rs.55,650/- (e) None of these
Naveena spent Rs. 1,800 on a dress and Rs. 3,270 on books and notebooks. She still was left with 35% of the total amount she had originally. Find the total amount she had originally.1. Rs. 6,5002. Rs. 7,8003. Rs. 7,0004. Rs. 7,500
Swapana spent Rs.44,620 on Deepawali Shopping, Rs.32,764 on buying Laptop and the remaining 32% of the total amount was left as cash with her. What was the total amount? (a) Rs.36,416 (b) Rs.1,13,800 (c) Rs.77,384 (d) Cannot be determined (e) None of these
In a college election between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15,200, what is the number of valid votes the other candidate got ? (a) 7106 (b) 6840 (c) 8360 (d) 5814 (e) None of these
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6 : 5 : 7 in 2010, and in the ratio 3 : 4 : 3 in 2015. If Ramesh’s salary increased by 25% during 2010 - 2015, then the percentage increase in Rajesh’s salary during this period is closest to1. 92. 73. 84. 10
(X% of Y) + (Y% of X) is equivalent to _______1. 2% of XY2. 2% of (XY/100)3. XY% of 1004. 100% of XY
In a city 80% of the population is literate. If the total population of the city is 8500, then the number of illiterate is1. 12002. 16003. 18004. 1700
15% of water bill is reduced from the original bill, then Rs.170 will be the balance to be paid. How much was the original bill?1. Rs. 2002. Rs. 2703. Rs. 1704. Rs. 185
The list price of a TV is Rs. 22500 and the customer demands the bill for the TV and thus has to pay 15% GST. Find the total value paid by the customer.1. Rs. 337502. Rs. 245753. Rs. 258754. Rs. 26545

If 25% of (P + Q) = 75% of (P - Q), then the value of P : Q is:1. 2 : 12. 3 : 13. 1 : 24. 1 : 3

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment