Question
‘X’ and ‘Z’ began a business with investments of
Rs. 5,500 and Rs. 11,000 respectively. After 5 months, ‘Y’ entered the business contributing Rs. 6,600. 7 months later, ‘Z’ withdrew his full capital. At the end of 24 months, if Y’s profit share is Rs. 1,320, what is the total profit share of X and Z?Solution
ATQ,
Ratio of profit shares of X, Y, and Z respectively = (5500 × 24) : (6600 × 19) : (11000 × 12) = 132000 : 125400 : 132000 = 44 : 41.8 : 44 (approx) → Let’s simplify directly: To make it simple, let's divide all by 11: = 12000 : 11400 : 12000 = 10 : 9.5 : 10 So, total parts = 10 + 9.5 + 10 = 29.5 Y’s share = 9.5 parts = Rs. 1,320 ⇒ 1 part = 1320 / 9.5 = Rs. 139. Sum of X and Z’s shares = (10 + 10) parts = 20 parts ⇒ 20 × 139 = Rs. 2,780
Rohit made an investment that yielded a simple interest rate of r% per annum, allowing the principal to grow to 180% of its original amount in 5 years. ...
sum invested at a certain rate of compound interest, compounded annually amounts to Rs.12,240 after 2 years and amounts to Rs. 17,625.6 after 4 years. I...
A certain sum of money yields Rs. 3,310 as compound interest for 3 years at 10% per annum. The sum is (in rupees).
A took a loan of Rs.4880 at simple interest of 25% p.a. and invested the same money in a scheme at simple interest of 35% p.a. Find the profit earned by...
The selling price of the book is 20% more than the selling price of the bag and the selling price of the bottle is 20% less than the selling price of th...
Meera deposited Rs. ‘W’ in a bank offering compound interest of 9% p.a. compounded annually. After 3 years, she invested the amount received from th...
What will be the net CI on Rs. 12000 for 4 years at 10% p.a compounded annually?
The simple interest earned on a certain sum after 6 years at 17% p.a. is Rs. 10,200 more than the simple interest earned on the same sum after 3 years ...
An equal sum of money is invested in two schemes which offer interest at the same rate but one at simple interest and the other at compound interest (co...
A man invested Rs. 't' in scheme 'I' offering simple interest at 11% for 7 years and Rs. 2,700 in scheme 'J' offering simple interest at 13% for 6 years...
Relevant for Exams:
