Given below are quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Quantity A: Gopal and Krishna started a partnership business. Gopal invested 40% of the capital for 15 months and Krishna got 400/9% of the profit. Find the time for which Krishna invested. Quantity B: 50% of a number is added to the number and the resultant is multiplied by 100 then the result comes out be 1200. Find the numerical value of the number.
Given below are quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Quantity A: Gopal and Krishna started a partnership business. Gopal invested 40% of the capital for 15 months and Krishna got 400/9% of the profit. Find the time for which Krishna invested. Quantity B: 50% of a number is added to the number and the resultant is multiplied by 100 then the result comes out be 1200. Find the numerical value of the number. Correct Answer Quantity A = Quantity B or No relation
Quantity A:
Let the Krishna invested his capital for the x months.
Ratio of the investment of Gopal and Krishna = 40 × 15 : 60 × x = 10 : x
Ratio of the profit of Gopal and Krishna = (100 - 400/9 : 400/9) = 500/9 : 400/9 = 5 : 4
Ratio of the investment is equal to the ratio of profit so,
⇒ 10/x = 5 : 4
⇒ x = 8
Krishna invested his capital for the 8 months.
Quantity B:
Let the number be x then,
⇒ (x + 50/100x) × 100 = 1200
⇒ x = 8
∴ Quantity A = Quantity B