Percentage - Study Mode
[#401] Rishu saves x% of her income. If her income increases by 26% and the expenditure increases by 20%. then her savings increase by 50%. What is the value of x?
Correct Answer
(C) 20
Explanation
Solution: [x08egin{array}{*{20}{c}}
{{ ext{Income}}}&{{ ext{Saving}}}&{{ ext{Expenditure}}} \
{ Rightarrow 100}&x&{100 - x} \
{ Rightarrow 126}&{1.5x}&{120 - 1.2x}
end{array}] $$eqalign{
& { ext{Now, Income }} - { ext{ Saving}} = { ext{Expenditure}} cr
& 126 - 1.5x = 120 - 1.2x cr
& 6 = 0.3x cr
& x = 20 cr} $$
[#402] If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged? (Correct to 2 decimal places)
Correct Answer
(B) 21.88%
Explanation
Solution: $$eqalign{
& = frac{{28}}{{128}} imes 100 cr
& = 21.875\% cr
& = 21.88\% cr} $$
[#403] Salary of Mohit is 60% more than Vijay. Salary of Vijay is how much percent less than Mohit?
Correct Answer
(D) 37.5%
Explanation
Solution: Given: Salary of Mohit is 60% more than Vijay Formula used: Percentage = $$frac{{{ ext{Difference}}}}{{{ ext{Larger value}}}} imes 100$$ Calculations: Let the salary of Vijay = Rs. 100 ⇒ So, the salary of Mohit = 100 + 60% of 100 = 100 + 60 = Rs. 160 According to the formula, $$eqalign{
& Rightarrow { ext{Percentage}} = frac{{{ ext{Difference}}}}{{{ ext{Larger value}}}} imes 100 cr
& = frac{{160 - 100}}{{160}} imes 100 cr
& = frac{{60}}{{160}} imes 100 cr
& = 37.5\% cr} $$ Hence, the salary of Vijay and less than Mohit by 37.5%
[#404] In an election contested between two candidates, 15% of the total voters did not cast their votes and 100 votes got disqualified. The candidate who won the election won it by securing 45% of the total votes and won by a margin of 400 votes. Find the total number of voters?
Correct Answer
(A) 6,000
Explanation
Solution: Let total voters be 100%x Total voters cast = Total votes % - % votes who did not cast vote ⇒ 100%x - 15% ⇒ 85%x Votes got disqualified = 100 Thus, total votes cast = 85%x - 100 Winner got 45% of the total votes cast: Loser got = 45% - 400 According to the question, 85%x - 100 = 45%x + 45%x - 400 ⇒ 300 = 90%x - 85%x ⇒ 300 = 5%x ⇒ x = 6000 ∴ The total number of voters is 6000
[#405] What percent of Rs. 2650 is Rs. 1987.50 ?
Correct Answer
(B) 75%
Explanation
Solution: Required percentage : $$eqalign{
& = left( {frac{{1987.50}}{{2650}} imes 100}
ight)\% cr
& = left( {frac{{19875}}{{265}} imes frac{1}{{100}} imes 100}
ight)\% cr
& = 75\% cr} $$