Question
In a container ratio of milk and water is 3:4. 14 litres
of mixture is removed and same quantity of water is added to the container. If the final ratio of milk and water is 3:5, find the initial quantity of mixture in the container.Solution
Let the quantity of milk and water in initial mixture be 3x and 4x respectively. Quantity of milk removed, when 14 litres of mixture is taken out, => (3/7) × 14 = 6 litres Quantity of water removed, when 14 litres of mixture is taken out, => (4/7) × 14 = 8 litres So, => (3x – 6)/(4x – 8 + 14) = 3/5 ⇒ 15x – 30 = 12x + 18 ⇒ 3x = 48 ⇒ x = 16 Initial quantity of mixture = 3x + 4x = 7x = 112 litres
R and S invested Rs. 18,000 and Rs. 12,000 respectively in a venture. After 5 months, R withdrew Rs. 3,000 and T joined the partnership with Rs. 9,000. ...
The savings of G and H are equal. The difference between H's expenditure and the total savings of G and H is nil. H's income amounts to Rs. 45,000, and ...
‘D’ started a business with a capital of Rs. 15000. After 4 months, ‘E’ joined the business with a capital of Rs. 10000. 6 months after ‘E’,...
Rohit and Dev invested ₹32,000 and ₹18,000 respectively. For the next four months after the first month both kept on adding ₹2000 every month. In ...
'A' initially invested 75% of the total capital in a business. After 4 months, 'C' joined, and at that point, 'A's investment became 50% of the total ca...
P, Q and R enter into a partnership by investing Rs.5000, Rs.8000 and Rs.5600 respectively. After 4 months, P invested Rs.1400 more and Q withdraw the ...
Sonia and Isha started a business with investments of Rs. 3100 and Rs. 2300, respectively. Four months into the business, Jai joined them with an invest...
If the ratio of time periods of investment of A and B is 3:5, profit at the end of the year is Rs.120000 and A’s share in it is Rs.20000, then what is...
K starts a business by investing ₹75,000. Four months later, L joins the business, contributing an amount that is 20% more than K's investment. At the...
- ‘P’ and ‘Q’ invested Rs. 7200 and Rs. 4800 respectively for 9 months and 15 months. P kept 35% of his profit and donated the rest. His remaining pr...
Relevant for Exams:
