Question
Ashish started a business by investing Rs. 1400. Few
months later; Ramesh joined him by investing Rs. 1600 such that at the end of the year, the profit share of Ashish was 5% more than that of Ramesh. How many months after Ashish did Ramesh join the business?Solution
Let the number of months for which Ramesh invested his money = ‘Y’ months Ratio of profit shares of Ashish and Ramesh = (1400 × 12):(1600 × Y) = 16800:1600Y = 21:2Y Let profit share of Ramesh be Rs. ‘100a’ So, profit share of Ashish = 1.05 × 100a = Rs. ‘105a’ ATQ; (21/2Y) = (105a/100a) So, Y = 10 Therefore, Ramesh joined the business (12 – Y) = 2 months after Ashish.
Find the least 4-digit number which is when divided by 21, 28, and 36 leaves a remainder of 11 in each case.
A number gives a remainder of 27 when divided by 36. What will be the remainder when the same number is divided by 12?
When a number is divided by 8, the remainder is half of the divisor and the quotient is 3 more than twice the product of the divisor and remainder. Find...
How many factors of 23 × 33 × 54 × 73 are divisible by 50 but not by 100.
Find the least 4-digit number which is when divided by 18, 30, and 45 leaves a remainder of 7 in each case.
What will be the remainder when 577Â + 87Â is divided by 13?
An eight-digit number, 18x297y6 is divisible by 72. Find the maximum possible value of x + y.
When a number is divided by 16, the quotient is 175, and the difference between the quotient and the remainder is 161. Find the number.
A number when divided by 45 leaves a remainder 21. What will be the remainder when the square of the same number is divided by 45?
Determine the remainder when 4412Â is divided by 7?
Relevant for Exams:
