BANK & INSURANCE (PERCENTAGE) PART 2

Total Questions: 60

21. The ratio of the marks obtained by Yash in English to Hindi is 15 : 16 and the marks obtained in Maths to Science is 5 : 6. The aggregate marks obtained is 64% in the four subjects together. If the marks obtained in English and Maths are the same and the maximum marks in each subject are 100 then find the total marks obtained by him in Hindi and Science together.

Correct Answer: (a) 136 
Solution:

Let the marks obtained by Yash in English and Hindi be 15x and 16x respectively. And, the marks obtained by Yash in Maths and Science be 5y and 6y respectively. ATQ, 15x = 5y
⇒ y = 3x
The aggregate marks obtained in the four subjects together = 64% Therefore, (15x + 16x + 5y + 6y) × 100 = 100 × 4 × 64
⇒ 31x + 11y = 256
⇒ 31x + 33x = 256
⇒ x = 4
⇒ y = 3x = 12
Total marks obtained in Hindi and Science together = 16x + 6y = 64 + 72 = 136 Hence, the correct answer is 136.

22. Arun spent his monthly salary on various items. He spent 15% of his monthly salary on buying clothes. He gave 20% of his monthly salary to Rohan and spent 25% of the remaining amount as rent. If he was left with Rs. 19617, find his monthly salary.

Correct Answer: (b) Rs. 40,240 
Solution:

Let, Arun’s monthly income be Rs. X.
Expenditure on clothes and Rohan = 35%
Remaining amount = 65/100 × X = 13/20 X
Remaining amount after expenditure or rent = 13/20 X × 75/100 = 39/80 X
According to the question,
39/80 X = 19617
X = 40240

23. Out of his monthly income of Rs. 25,000, Mukesh spent 32% on rent, 52% of the remaining on other things and saved the rest. Find 75% of his monthly savings.

Correct Answer: (e) Rs. 6,120
Solution:Amount spent by Mukesh on Rent = 25000 × 0.32 = Rs. 8000
Remaining amount = (25000 − 8000) = Rs. 17,000
Amount saved by Mukesh per month = 17000 × (1 − 0.52) = 17000 × 0.48 = Rs. 8,160 Required amount = 8160 × 0.75 = Rs. 6,120

24. Raman spends 40% of his annual income in depositing EMI. Out of his remaining annual income, he spends 25% on house rent, 15% on food and saves the rest. If his annual savings is Rs. 54,000, then find his annual income.

Correct Answer: (c) Rs. 1,50,000 
Solution:Let, the total annual income of Raman be Rs. 100x;.
So, amount spent on depositing EMI = (0.4 × 100x) = Rs. 40x;
So, amount spent on rent and food together = (25 + 15)% of (100x − 40x) = 0.4 X
60x = Rs. 24x;
Therefore, amount saved = (100x − 40x − 24x) = Rs. 36x; So, 36x = 54000
Or, x = (54000/36) = 1500
Therefore, annual income of Raman = 100 × 1500 = Rs. 1,50,000

25. In 2020, out of his income of Rs. 40800, Mohan spent 25% on rent, 20% of the remaining on food and saved the rest. In 2021, if Mohan’s expense on rent and food increased by Rs. 1800 and Rs. 980 respectively in comparison to 2020 and he saved Rs. 32000, then by how much percentage did his income in 2021 increase compared to 2020? (Total expenditure in each year = expenditures on rent and food, in that year)

Correct Answer: (a) 25% 
Solution:

In 2020,
Mohan’s expense on rent = 40800 × 0.25 = Rs.10200
Mohan’s expense on other = 40800 × 0.75 × 0.2 = Rs.6120 In 2021,
Mohan’s expense on rent = 10200 + 1800 = Rs. 12000
Mohan’s expense on food = 6120 + 880 = Rs. 7000
And so, Mohan’s income in 2021 = 12000 + 7000 + 32000 = Rs. 51000 Therefore, required percentage = (51000 − 40800)/40800 × 100 = 25%

26. The incomes of A and B are in the ratio 7:9, respectively. A spends 48% of his income and saves the rest, while B spends Rs. 2,000 less than what he saves. If the sum of savings of A and B is Rs. 13,210, then what is the income of A?

Correct Answer: (e) Rs. 10,500
Solution:

Let the income of A = Rs. 700x
Then, income of B = 700x × (9/7) = Rs. 900x
Savings of A = 700x × (1 − 0.48) = Rs. 364x
Let the expenses of B = Rs. Y
Then, savings of B = Rs. (Y + 2000)

We have, Y + Y + 2000 = 2Y + 2000 = 900x
So, Y = (900x − 2000) ÷ 2 = (450x − 1000)
So, savings of B = 450x − 1000 + 2000 = Rs. (450x + 1000) According to the question, 364x + 450x + 1000 = 13210 or, 814x = 13210 − 1000 = 12210
So, x = 12210 ÷ 814 = 15
Therefore, income of A = 700x = 700 × 15 = Rs. 10,500

27. The income of Rajat is Rs. 25,000 out of which he saves 40% of his income. If his income is increased by 20% and his expenditure is increased by 15%, then find his new savings.

Correct Answer: (d) Rs. 12,750 
Solution:

Initial Income of Rajat = Rs. 25,000
Initial expenditure of Rajat = 25000 × (60/100) = Rs. 15,000 New Income of Rajat = Rs. 25,000 × (120/100) = Rs. 30,000 New expenditure of Rajat = 15000 × (115/100) = Rs. 17,250 New savings of Rajat = 30,000 − 17,250 = 12,750

28. Rajat spends 65% of his salary and saves Rs. 10,500. If his salary gets increased by 20% and his expenditure gets increased by 10%, then find the difference between his new savings and initial savings.

Correct Answer: (b) Rs. 4,050 
Solution:Let the initial salary of Rajat be Rs. 100x
His initial expenditure = 100x × (65/100) = Rs. 65x
His initial savings = 100x × (35/100) = Rs. 35x
So, 35x = 10500
Or, x = (10500/35) = 300
So, the initial salary of Rajat = Rs. 100x = 100 × 300 = Rs. 30,000
Increased/New salary of Rajat = 30,000 × (120/100) = Rs. 36,000 New expenditure of Rajat = 65x × (110/100) = 65 × 300 × (110/100) = Rs. 21,450
New savings of Rajat = 36000 − 21450 = Rs. 14,550
The difference between his new savings and initial savings = 14550 − 10500 = Rs. 4,050

29. The price of a English book is Rs. 75 less than the price of a Math book. The price of a science book is 20% more than the price of a Math book. Find the price of a Hindi book given that the price of Hindi book is 10% less than the price of English book and the price of a Science book is Rs. 390.

Correct Answer: (d) Rs. 225 
Solution:Let the price of a Math book be Rs. 100x
The price of a Science book = 100x × (120/100) = Rs. 120x So, 120x = 390
Or, x = (390/120) = 3.25
The price of a Math book = 100x = 100 × 3.25 = Rs. 325
The price of an English book = 325 − 75 = Rs. 250
The price of a Hindi Book = 250 × (90/100) = Rs. 225

30. 840 pens were distributed among A, B and C in the ratio of 5:4:3, respectively. If the ratio of the number of pens with D and E is 6:7, respectively, then find the number of pens with E, given that D has 20% more number of pens than B.

Correct Answer: (d) 392 
Solution:Let the number of pens that A, B and C got be 5x, 4x and 3x, respectively. ATQ:
5x + 4x + 3x = 840
Or, 12x = 840
Or, x = 70
The number of pens that B = 4x = 4 × 70 = 280
The number of pens with D = 280 × (120/100) = 336
The number of pens with E = 336 × (7/6) = 392