ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

In an examination, the number of those who passed was 5 times the number of those who failed. If there had been 75 less passed candidates and 10 more had failed, the ratio of passed to failed candidates would have been 1 : 2, then find the total number of candidates initially?

Asked on by | Votes 0 | Views: 244 | Tags: ratio and proportion     | numerical ability     | Add Bounty

In an examination, the number of those who passed was 5 times the number of those who failed. If there had been 75 less passed candidates and 10 more had failed, the ratio of passed to failed candidates would have been 1 : 2, then find the total number of candidates initially?


1). 100
2). 110
3). 90
4). 170


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

1 vote
Answered by on | Votes 1 |

Let the number of failed candidates = x

Number of passed candidates = 5x

Total number of candidates = 5x + x = 6x

According to the question

(5x - 75 - 10)/(x + 10 + 75) = 1/2

⇒ 10x - 150 - 20 = x + 10 + 75

⇒ 10x - x = 255

⇒ 9x = 255

⇒ x = 85/3

∴ Total number of candidates = 85/3 × 6 = 170

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (4+5)
Submit:

Other Questions

1. A shopkeeper had some jeans, out of which he sells 12 % jeans and still has 44 jeans remaining. If he had 25% of total clothes are jeans than what is the number of clothes other than jeans?

2. What value should come in the place of question mark(?) in the following question? \(\sqrt[5]{{{3^{10}} \times {9^5}}} = \sqrt[2]{{{3^?}}}\)

3. A train is 173 m long. It crosses a platform in 21 seconds with speed of 20 m/s. Another train crosses the same platform in same time with speed 18 km/hr less than speed of previous train. Find the length of second train.

4. A receptacle is filled with a mixture of two liquids L1 and L2 in the ratio of 7 : 5. Due to poor handling, 9 litres of mixture fell from the receptacle and the volume was made up with L2, thus the ratio of the both liquids in the mixture becomes 7 : 9. Find the initial quantity of L1 in the mixture.

5. Airtel and Nokia entered into a partnership 7 months ago. The ratio of revenues claimed by Airtel to Nokia is 5 ∶ 7. If Nokia had started the business 12 months ago with Rs. 735 thousand crores, what is the amount contributed by Airtel?

6. Direction: What should come in place of question mark (?) in the following question? (You do not have to calculate the exact value.) 54.92% of 601 + 66% of 889.979 × 34.905 = (?)

7. What should come in place of question mark ‘?’ in the following number series? 8, 17, 32, ?, 80

8. Directions: In five baskets, there are balls of four colours – red, blue, yellow, green. Given below is a table which gives data about the number of balls in each basket. Using the table, solve the questions. Basket R B Y G R

9. At 20% discount the selling price of a refrigerator is Rs 24,000, what is the selling price if the discount is 30%?

10. What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 20.06% of 499 + 10.01% of 901 = ?