Question
Milk worth Rs. 20/litre and Rs. 32/litre are mixed with a
third variety in the ratio 1:1:2 respectively. If the final mixture is worth Rs. 28/litre, then the price of the third variety of milk is:Solution
Let the quantity of three varieties of milk in the new mixture be ‘x’ litre, ‘x’ litre, and ‘2x’ litres respectively
Let the price of the third variety of milk be Rs. ‘y’/litre
ATQ:
(20 × x) + (32 × x) + (y × 2x) = 28 × (x + x + 2x)
Or, 20x + 32x + 2xy = 28 × 4x
Or, 52x + 2xy = 112x
Or, 2xy = 60x
Or, y = 30
So, the price of the third variety of milk = Rs. 30/litre
Amit and Sara started a business with the investments of Rs. 20,000 and Rs. 30,000 respectively. After one year, Amit increases his investment by Rs. 5,...
P and Q entered into partnership with Rs. 8000 and Rs. 12000 respectively. After 4 months P withdrew `1/4` of his stock but after 4 months more he put b...
Two firms, X and Y, began a joint venture by investing in a ratio of 9:16. After six months, Firm Y withdrew its entire investment. At the end of the ye...
M and N started a business by investing Rs.4000 and Rs.5000 respectively. After 7 months, M and N increased their investments by 30% and Rs.2400 respect...
‘A’ and ‘B’ invested Rs. 4800 and Rs. 3600, respectively in a business, together. After 6 months, ‘A’ withdrew 25% of his initial investment...
‘A’, ‘B’ and ‘C’ started a business by investing Rs. 3,000, Rs. 3,600 and Rs. 2,400, respectively. After 6 months, ‘B’ decreased his inv...
A, B and C invest in a partnership in the ratio 8:5:10 and investment of A is Rs.200 less than investment of C. Partner B invests for 1/5th and A and C ...
‘A’ invested Rs. 3500 in a business. ‘B’ joined x months later with an investment of Rs. 2500. If at the end of the year, B’s share in the pro...
‘C’ and ‘D’ entered into a business by investing Rs. ‘y’ and Rs. ‘y + 300’, respectively. After 10 months ‘C’ invested Rs. 400 more ...
P and Q started a business by investing Rs.5600 and Rs.4000 respectively. After 6 months, Q increased his investment by a certain percentage such that a...
Relevant for Exams:
