Percentage - Study Mode

[#251] Tulsiram's salary is 20% more then that of Kashyap. If Tulsiram saves Rs. 720 which is 4% of his salary, then Kashyap's salary is :
Correct Answer

(A) Rs. 15000

Explanation

Solution: Salary of Tulsiram = Rs. $$frac{720}{4}$$ × 100 = Rs. 18000 Salary of Kashyap = 18000 × $$frac{100}{120}$$ = Rs. 15000

[#252] The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of students, appeared in the examination to that not appeared in the same examination is :
Correct Answer

(D) 23 : 27

Explanation

Solution: According to the question, Let the total number of students = 100 Ratio of Boys and Girls =$$frac{3}{2}$$ Total number of Boy = $$frac{3}{5} imes 100 = 60$$ Total number of Girl = $$frac{2}{5} imes 100 = 40$$ 30% of boy appeared in exam = 30% of 60 = 18 70% of girl appeared in exam = 70% of 40 = 28 Total number of student appeared in exam = 18 + 28 = 46 Students not appeared in exam = 100 - 46 = 54 $$ herefore frac{{{ ext{Ratio of students appeared in exam}}}}{{{ ext{Not appeared in exam}}}}$$ = $$frac{46}{54}$$ = $$frac{23}{27}$$ = 23 : 27

[#253] The value of a machine is Rs. 6250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year, What will be the value of the machine after 3 years ?
Correct Answer

(C) Rs. 3150

Explanation

Solution: Current value of machine $$eqalign{
& = 6250 imes frac{{90}}{{100}} imes frac{{80}}{{100}} imes frac{{70}}{{100}} cr
& = { ext{Rs}}{ ext{. 3150}} cr} $$

[#254] A person gave 20% of his income to his elder son, 30% of remaining to the younger son and 10% of the balance, he donate to a trust. He is left with Rs. 10080. His income was :
Correct Answer

(D) Rs. 20000

Explanation

Solution: Let Person income is 100x 20% his income give to elder son, i.e. 20x Remaining income 100x -20x = 80x Now 30% of his remaining income given to his younger son i.e. 30% of 80x = 24x Remain saving is 80x - 24x = 56x Now 10% of his remaining income he donated to a trust i.e. 10% of 56x = 5.6x Remain income = 56x - 5.6x = 50.4x According to question 50.4x = 10080 x = $$frac{{10080}}{{50.4}}$$ = 200 Person income = 100 x 200 = Rs. 20000

[#255] The weight of an empty bucket is 25% of the weight of the bucket when filled with some liquid. Some of the liquid has been removed. Then, the bucket, along with the remaining liquid, weighed three-fifths of the original weight. What percentage of the liquid has been removed ?
Correct Answer

(D) $$53frac{1}{3}$$%

Explanation

Solution: Let the weight of the bucket when it is full, be 1 kg. Then, weight of empty bucket = 25% of 1 kg = $$frac{1}{4}$$ kg Weight of liquid in the bucket = 1 - $$frac{1}{4}$$ kg = $$frac{3}{4}$$ kg On removing the liquid, weight of (bucket + liquid) = $$frac{3}{5}$$ kg Weight of liquid in the bucket = $$frac{3}{5}$$ - $$frac{1}{4}$$ kg = $$frac{7}{20}$$ kg Weight of liquid removed = $$frac{3}{4}$$ - $$frac{7}{20}$$ = $$frac{8}{20}$$ = $$frac{2}{5}$$ kg Hence, required percentage = $$frac{2}{5}$$ × $$frac{4}{3}$$ × 100% = $$frac{160}{3}$$% = $$53frac{1}{3}$$%