Percentage (Railway Maths) (Part – I)

Total Questions: 50

1. A student scored 80/80 marks in term 1 and 75/90 marks in term 2. What will be his percentage of final score, if the weightage given to the terms is 40% and 60%, respectively. (correct to the nearest integer) [Group D 22/08/2022 (Morning) ]

Correct Answer: (a) 90%
Solution:

2. Ramu used to spend 72% of his income. His income has increased by 12% and he has increased his expenditure by 5%. If Ramu earlier saved ₹y and after the increase he now saves ₹x, then what is the value of (x - y/y × 100) %? [Group D 30/08/2022 (Morning) ]

Correct Answer: (d) 30%
Solution:

3. The annual income of Ram is ₹ 5,62,400. He spent 20% of this income on house rent, 15% of the remaining income on food, and 30% of the income still remaining with him on children's education. If the amount still remaining was his savings, which of the following amounts is closest to his actual savings? [Group D 02/09/2022 (Evening)]

Correct Answer: (c) ₹ 2,67,703
Solution:

4. Sujata buys 9 apples and 8 mangoes for ₹276. When the cost of an apple is decreased by 10% and that of a mango remains the same, then the cost of 5 apples and 10 mangoes is ₹210. What is the original cost of 4 apples and 3 mangoes? [Group D 05/09/2022 (Evening)]

Correct Answer: (a) 116
Solution:

5. Last year, Ganga's monthly salary was ₹12,000, and Saraswati's monthly salary was ₹10,000. This year, Ganga's monthly salary is ₹14,400, while Saraswati's monthly salary is ₹12,500. If the percentage increase in monthly salary of Saraswati this year as compared to last year's monthly salary is denoted by x%, and the percentage increase in monthly salary of Ganga this year as compared to last year's monthly salary is denoted by y%, then find the value of ((x − y) / y × 100) %. [Group D 06/09/2022 (Evening)]

Correct Answer: (a) 25%
Solution:

6. The cost of a washing machine is 40% less than the cost of a TV. If the cost of the washing machine increases by 18% and that of the TV decreases by 10%, then what is the change in the total cost of 5 washing machines and 2 TVs? [Group D 09/09/2022 (Afternoon)]

Correct Answer: (d) Increases by 6.8%
Solution:

Let cost of TV = 100 unit
So, cost of washing machine
= 100 × 60/100 = 60 unit
Increase in cost of washing machine
= 60 × 18/100 = 10.8 unit
Decrease in cost of TV = 100 × 10/100
= 10 unit
cost price of 5 washing machine and 2 TV
= 5 × 60 + 100 × 2 = 500
Total changes in cost price of 5 washing machine and 2 TV = 10.8 × 5 − 10 × 2
= 54 − 20 = +34
Required increase % = 34/500 × 100 = 6.8%
Short trick :-

Total c.p. Of 5 washing machines and 2 TVs = (5 × 30) + (2 × 50) = 250
Total change in 5 washing machines and 2 TVs = (5.4 × 5) + (2 × (−5)) = 17
%change = 17/250 × 100 = 6.8%

7. Mridul's working hours per day increased by 25% and his hourly wages increased by 20%. By how much percent did his daily earnings increase? [Group D 20/09/2022 (Afternoon)]

Correct Answer: (c) 50%
Solution:

8. Due to decrease in manpower, the production in a factory decreases by 30%. By what percent should the working hours be increased to restore the original production ? [Group D 22/09/2022 (Afternoon) ]

Correct Answer: (b)
Solution:

9. X sells a washing machine to Y at a profit of 20%. Y sells it to Z at a loss of 12% and later Z sells it to T at a profit of 30%. If Z earns ₹87.60 more than X as profit, then at what price (in₹) did Y buy the washing machine ? [Group D 26/09/2022 (Morning) ]

Correct Answer: (c) 900
Solution:

10. In a Lions Club, 70% of the members are young and 30% of the members are old. The average age of the old members is 40 years and that of the young members is 20 years. What is the average age of all the members (in years) ? [Group D 30/09/2022 (Evening) ]

Correct Answer: (a) 26
Solution: