Percentage - Study Mode

[#246] Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :
Correct Answer

(C) 90

Explanation

Solution: Let the greater and smaller number is a and b respectively According to the question, Case (i) a × $$frac{40}{100}$$ = b × $$frac{60}{100}$$ 2a = 3b a = $$frac{3}{2}$$b ..... (i) Case (ii) a + b = 150 ..... (ii) From equation (i) and (ii) $$frac{3}{2}$$b + b = 150 5b = 300 b = 60 Value of b = 60 put in equation (i) a = $$frac{3}{2}$$ × 60 = 90 Hence, greater number = 90

[#247] If the total monthly income of 16 persons is Rs. 80800 and the income of one of them is 120% of the average income, them his income is :
Correct Answer

(B) Rs. 6060

Explanation

Solution: Average income = Rs. $$frac{80800}{16}$$ = Rs. 5050 Hence, required income = Rs. 5050 × $$frac{120}{100}$$ = Rs. 6060

[#248] If three-fifth of sixty percent of a number is 36, the number is :
Correct Answer

(A) 100

Explanation

Solution: Let the number be x According to the question, x × $$frac{60}{100}$$ × $$frac{3}{5}$$ = 36 ⇒ x = $$frac{36 × 25}{9}$$ ⇒ x = 100

[#249] X has twice as much money as that of Y and Y has 50% more money than that of Z. If the average money of all of them is Rs. 110, then the money, which X has is :
Correct Answer

(D) Rs. 180

Explanation

Solution: 50% = $$frac{1}{2}$$ Let Z has 2 units of money According to the question, X xa0 : xa0 Y xa0 : xa0 Z 6 xa0 : xa0 3 xa0 : xa0 2 $$frac{(6 + 3 + 2)}{3}$$ xa0 units = Rs. 110 ⇒ 11 units = Rs. 330 1 unit = Rs. 30 6 units = 30 × 6 = Rs. 180 Hence, X has Rs. 180

[#250] The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12% then the numbers obtained are equal. The smaller number is :
Correct Answer

(B) 240

Explanation

Solution: Let the bigger number is a and the smaller number is (520 - a) According to the question, a × $$frac{(100 - 4)}{100}$$ xa0 = (520 - a) × $$frac{(100 + 12)}{100}$$ $$frac{96a}{100}$$ = (520 - a) $$frac{112}{100}$$ 96a = (520 - a) 112 13a = 3640 a = 280 Hence, bigger number = 280 Smaller number = (520 - 280) = 240