Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120 respectively. Sureshbuys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did hepurchase?
A)8
B)14
C)20
D)none of the above

Question

Quizplus · Accepted Answer

The total cost is divided among articles P, Q, and R in the ratio of their costs and quantities. For P (3 articles at Rs. 300 each), Q (2 articles at Rs. 180 each), and R (3 articles at Rs. 120 each), the cost ratio is 3*300:2*180:3*120 = 900:360:360. Simplifying this ratio gives 5:2:2. Since the total cost is Rs. 6480, and the total parts of the ratio are 9 (5+2+2), each part is worth Rs. 720 (6480/9). Therefore, for Q, which has 2 parts, the total cost is 2*720 = Rs. 1440. At Rs. 180 per article, Suresh bought 1440/180 = 8 articles of type Q.

Price of Each Article of Type P, Q, and R