Percentage - Study Mode

[#191] I paid Rs. 27.20 as sales tax on a watch worth Rs. 340. Find the rate of sales tax.
Correct Answer

(A) 8%

Explanation

Solution: Rate of sales tax $$eqalign{
& = left( {frac{{27.20}}{{340}} imes 100}
ight)\% cr
& = 8\% cr} $$

[#192] A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English ?
Correct Answer

(C) 66

Explanation

Solution: Total marks obtained by the student = 55% of 800 = $$frac{55}{100}$$ × 800 = 440 ∴ Marks scored in English = 15% of 440 = $$frac{15}{100}$$ × 440 = 66

[#193] A wrist watch of cost price Rs. 1250 was sold by Sharel for Rs. 1500. What was the profit percent ?
Correct Answer

(D) 20%

Explanation

Solution: Cost price of wrist watch = Rs. 1250 Sale price of wrist watch = Rs. 1500 Profit percent : $$eqalign{
& = left( {frac{{1500 - 1250}}{{1250}}}
ight) imes 100 cr
& = frac{{250}}{{1250}} imes 100 cr
& = frac{{25000}}{{1250}} cr
& = 20\% cr} $$

[#194] The difference of two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is :
Correct Answer

(A) 25

Explanation

Solution: Let the larger number be x Then, x - 20 = $$frac{20}{100}$$x ⇔ x - $$frac{1}{5}$$x = 20 ⇔ $$frac{4}{5}$$x = 20 ⇔ x = 20 × $$frac{5}{4}$$ ⇔ x = 25

[#195] Two candidates fought an election. One of them got 62% of the total votes and won by 432 votes. What is the total number of votes polled ?
Correct Answer

(C) 1800

Explanation

Solution: Let the total number of votes polled be x Then, votes polled by other candidate = (100 - 62)% of x = 38% of x ∴ 62% of x - 38% of x = 432 ⇒ $$frac{24x}{100}$$ = 432 ⇒ x = $$frac{432 × 100}{24}$$ ⇒ 1800