Percentage - Study Mode

[#436] Solve [180% of (?)] ÷ 2 = 504
Correct Answer

(C) 560

Explanation

Solution: Give (180% of ?) ÷ 2 = 504 ⇒ ? × $$frac{180}{100}$$ × 2 = 504 ⇒ ? × $$frac{180}{100}$$ = 504 × 2 ⇒ ? × $$frac{180}{100}$$ = 1008 ⇒ ? = $$frac{1008 × 100}{180}$$ xa0 = 560

[#437] The marked price of an article is Rs. 2400. The shopkeeper gives successive discounts of x% and 15% to the customer. If the customer pays Rs. 1876.80 for the article, find the value of x :
Correct Answer

(B) 8%

Explanation

Solution: Marked price of an article = Rs. 2400 According to the question, 2400 × (100 - x)% of 85% = 1876.80 ⇒ 2400 × $$frac{100 - x}{100}$$ × $$frac{85}{100}$$ = 1876.80 ⇒ (100 - x) = $$frac{1876.80 × 100 × 100}{2400 × 85}$$ ⇒ (100 - x) = $$frac{18768000}{204000}$$ ⇒ (100 - x) = 92 ⇒ x = 100 - 92 ⇒ x = 8%

[#438] 5 out of 2250 parts of earth is sulphur. What is the percentage of sulphur in earth ?
Correct Answer

(B) $$frac{2}{9}$$%

Explanation

Solution: Required percentage : $$eqalign{
& = left( {frac{5}{{2250}} imes 100}
ight)\% cr
& = frac{2}{9}\% cr} $$

[#439] In a class of 65 students and 4 teachers, each student got sweet that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there ?
Correct Answer

(C) 949

Explanation

Solution: Number of sweets obtained by each student : = 20% of 65 = 13 Number of sweets obtained by each teacher : = 40% of 65 = 26 ∴ Total number of sweets = 65 × 13 + 4 × 26 = 845 + 104 = 949

[#440] If 35% of a number is 175, then what percent of 175 is that number ?
Correct Answer

(D) None of these

Explanation

Solution: Let the number be x Then, 35% of x = 175 ⇔ $$frac{35}{100}$$ × x = 175 ⇔ $$frac{175 × 100}{35}$$ xa0 = 500 Now, let y% of 175 = 500 Then, $$frac{y}{100}$$ × 175 = 500 ⇔ y = $$frac{500 × 100}{175}$$ ⇔ y = $$frac{2000}{7}$$ ⇔ y = $$285frac{5}{7}$$