BANK & INSURANCE (PERCENTAGE) PART 2

Total Questions: 60

11. Akash distributed some chocolates among 4 kids- A, B, C and D. Akash gives 20% of total chocolates to A, 30% of remaining to B. From the remaining, he gives 40% to C and remaining 168 chocolates to D. Find the total number of chocolates distributed by Akash.

Correct Answer: (b) 500 
Solution:

Let the total number of chocolates be 100x
Then, A gets = (20/100) × 100x
⇒ (1/5) × 100x
⇒ 20x
B gets = (30/100) × (100x − 20x)
⇒ (3/10) × 80x
⇒ 24x
C gets = (40/100) × (100x − 20x − 24x)
⇒ (2/5) × 56
⇒ 22.4x
Now, D gets = 168 chocolates
⇒ (100x − 20x − 24x − 22.4x) = 168
⇒ 33.6x = 168
⇒ x = 5
Then, total number of chocolates = 100x
⇒ 100 × 5 = 500
∴ Akash has distributed total 500 chocolates.

12. A fruit seller bought fruits in bulk, 20% of which were rotten and he throws it away, he sells the remaining 75% and he uses the remaining 50% to make fruit juice. If the difference between the number of fruits used to make fruit juice and the number of rotten fruits is 48. Then find the total number of fruits bought by the seller.

Correct Answer: (a) 480 
Solution:

Let the fruits bought by the vendor be 100x
20% were rotten and was thrown away by the vendor
Rotten fruits = (20/100) × 100x = 20x
∴ Remaining fruits = (80/100) × 100x = 80x
75% of the remaining fruits was sold
∴ Fruits sold = (75/100) × 80x = 60x
Remaining fruits = 80x − 60x = 20x
Now, 50% of the remaining fruits is used to make juice
∴ Fruits used for juice = (50/100) × 20x = 10x
The difference between the number of fruits used to make juice and number of rotten fruits is 48
According to question
⇒ 20x − 10x = 48
⇒ 10x = 48
⇒ x = 4.8
∴ Total fruits bought by the vendor = 4.8 × 100 = 480

13. Current monthly income of Sagar and Vishrut together is Rs. 61750. The income of Sagar and Vishrut is increased by 15% and 20% respectively. The new income of Sagar is Rs. 3600 less than the new income of Vishrut. What is the new income of Vishrut?

Correct Answer: (c) 38100
Solution:

Let the income of Sagar and Vishrut be S and V,
⇒ Current total monthly income of 61750
⇒ S + V = 61750
⇒ S = x; V = 61750 − x
⇒ New income of V = New income of S + 3600
⇒ V’s new income = (61750 − x) × 120/100
⇒ S’s new income = x × 115/100

⇒ (61750 − x) × (120/100) = x × (115/100) + 3600
⇒ 61750 × 120 − 3600 × 100 = 115x + 120x
⇒ 7050000 = 235x
⇒ Sagar’s income X = (7050000/235) = 30000
⇒ Vishrut’s income = 61750 − 30000 = 31750
⇒ New Income of Vishrut = 31750 × (120/100)
⇒ Rs. 38100
∴ required answer is Rs 38100.

14. In a village, two contestants (A and B) are contesting in an election. 80% of the registered voters cast their votes in the election and A wins the election by 800 votes. If A had received 12.5% less votes and these votes go to B's share, A's votes would have been equal to B's votes. How many registered voters are there in the village?

Correct Answer: (d) 7000 
Solution:

According to question,
⇒ x − y = 800 … (1)
Also
⇒ (87.5/100)x = y + (12.5/100)x … (2)
⇒ y = (3/4)x … (3)
Eq(3) to solve (1) we get
⇒ x − (3/4)x = 800
⇒ x = 3200 and y = 2400
Now, We know that A and B collectively won 80% of total votes of total votes. If the total number of registered voters in the village be z
Then, (80/100)z = 3200 + 2400
⇒ z = (5600 × 5)/4
⇒ z = 7000
∴ Total number of registered voters in village are 7000

15. In an annual function of class 7th, total of 550 students attended the function. 40% of the attendees are male, out of which, 10% participated in dancing. Out of the total, 33.33% of females participated in dancing. The number of students participating in anchoring is 16.67% of the total number of students who participated in dancing. Find the number of students who participated in anchoring.

Correct Answer: (a) 22 
Solution:

Given:
Total number of students = 550
Number of males = 40%
Calculations:
Total number of students = 550
Number of males = 40%
⇒ Number of males = (40/100) × 550 = 220
Number of females = (550 − 220) = 330
Now, Males who participated in dancing = 10% of 220
⇒ Males who participated in dancing = (10/100) × 220 = 22 Now, Females who participated in dancing = 33.33% of 330 ⇒ Females who participated in dancing = (1/3) × 330 = 110 Total number of students who participated in dancing = (22 + 110)
⇒ Total number of students who participated in dancing = 132 Students participated in anchoring = 16.67% of 132
⇒ Students participated in anchoring = (1/6) × 132 = 22
∴ The number of students who participated in anchoring is 22.

16. Arun's gross annual salary is 80,000 Rupees. His wife contributes 10% of his salary before taxes to a retirement account. He pays 25% of his remaining salary in state and federal taxes. Finally, he pays 60 Rupees per month for health insurance. What is Arun's annual take-home pay?

Correct Answer: (c) 53,280 Rupees 
Solution:

Arun receives 80,000.
First he contributes 10% of his salary to a retirement account = 80,000 × (10/100)
= 8000
⇒ 80,000 − 8,000 = 72,000 Rupees
After, contributing to his retirement account, Arun has 72,000 Rupees. Then she pays 25% in taxes.
⇒ 72,000 × (25/100)
⇒ 18,000
⇒ 72,000 − 18,000 = 54,000
After, paying taxes, Arun has 27,000 Rupees left.

Finally, he pays 60 Rupees per month for health insurance. ⇒ 60 × 12
⇒ 720 Rupees
Remaining salary,
⇒ 54,000 − 720
⇒ 53,280 Rupees
∴ Arun’s annual take-home pay is 53,280 Rupees.

17. A's monthly income is 50/3 % less than that of B. B's monthly income is 20% more than that of C. If the sum of the monthly income of A, B and C is 480000 Rs., what is the difference between monthly income of A and B?

Correct Answer: (a) 30000 
Solution:Let income of C be 100
Income of B = 100 × 120% = 120
Income of A = 120 × 5/6 = 100
A : B : C
100 : 120 : 100
5 : 6 : 5
A + B + C = 5 + 6 + 5 = 16 unit
16 unit = 480000 Rs
1 unit = 30000 Rs
Difference between monthly income of A and B = 1 unit ⇒ 1 unit = 30000Rs

18. Ram employed as I.T officer in Bank of Baroda bank, From salary of May 2020 he gives 15% to his wife, 40% of remaining on household expenditure and donate 21% of his salary to Prime minister relief fund, then he has only – Rs.18,000 with him, What was the salary of Ram on May 2020.

Correct Answer: (b) Rs 60,000  
Solution:Let Ram’s salary of May 2020 = Rs.100x
Amount give to his wife = (15/100) × 100x
⇒ Rs.15x
Remaining amount = 100x − 15x
⇒ Rs.85x
Household expenditure = (40/100) × 85x
⇒ Rs.34x
Donate in prime minister relief fund = (21/100) × 100x ⇒ Rs.21x
Saving amount = 100x − 15x − 34x − 21x
⇒ Rs.30x
30x = 18000
⇒ x = 600
Salary of Ram in May 2020 = 100 × 600
⇒ Rs.60,000
∴ Salary of Ram in May 2020 is Rs.60,000.

19. In an examination, 84% of candidates passed in Science and 76% candidates passed in History. If 70% of candidates passed in both these subjects, then what percent of candidates failed in both the subjects?

Correct Answer: (b) 10 
Solution:

The percentage of candidates passed in atleast one subject ⇒ (84 + 76)% − 70% = 90%
The percentage of candidates who failed in both subjects = (100 − 90)% = 10%.
∴ The percentage of candidates who failed in both subjects is 10%.

20. If the price of an Iphone is reduced by 20% during the festival season, its sale is increased by 80%. If the percentage by which the net sale is increased be m, then what will be the square root of m+5 ?

Correct Answer: (e) 7
Solution:

Let the price be Rs x per iphone and the no of units sold be y
∴ Sale = Rs x × y
Price of iphone after reduction = x − 20% of x
⇒ x − 20/100 × x
⇒ Rs 4x/5
Number of iphones sold after reduction in price = y + 80% of y
⇒ y + 80/100 × y
⇒ 9y/5
∴ Net sale after reduction = Rs (4x/5 × 9y/5)
⇒ Rs 36xy/25
⇒ % increment = (36xy/25 − xy)/xy × 100
⇒ 11/25 × 100
⇒ 44%
∴ The value of m+5 = 44+5
⇒ m+5 = 49
∴ The square root of m+5 is 7