Question
The average number of books of Biology, Chemistry and
Physics in a book shop is 360. Biology books are 180 more than the average number of Chemistry and Physics books. The number of Physics books is 180 less than the average number of Biology and Chemistry books. What is the number of chemistry books in the shop?Solution
: Let the number of biology, chemistry and physics books be B, C and P. B+C+P =360×3=1080 B+C+P=1080   … (1) Biology books =180+Average number of (C and P) B=180+(C+P)/2 2B=360+C+P 2B-C-P=360     … (2) Physics books =Average of (B+C)/2 -180 P=B+C)/2 -180 2P=B+C-360 B+C-2P=360    … (3) Adding Equation (1) and (3) and subtracting (2) ... (B+C+P) + B+C-2P -2B+C+P=1080+360-360 3C=1080 C=360.
Veena and Sanu started a business with initial investments of Rs. 6400 and Rs. 8000, respectively. The time periods for which they kept their investment...
A and B invested Rs.5000 and Rs.9000 in a business respectively and after 4 months B withdrawn 50% of his initial investment and again after 5 months he...
A started a business with an investment of Rs.1500. After some months, B joins the business with an investment of Rs.3600 and after two more months C jo...
Pritam and Neha invested in a business in the ratio 8 : 5. If 9% of the total profit goes to charity and Pritam’s share is Rs. 18200, the tota...
Anchal, Bhavana, and Chetna commenced a business with initial investments of Rs. 15000, Rs. 12000, and Rs. 18000, respectively. They agreed that 'p' % o...
A and B entered into a business investing Rs. (x + 70) and Rs. (x – 40) respectively. After one year they invested Rs. 120 more and Rs. 100 more respe...
Anoop initially invested Rs. 14,400 to start a business. After 9 months, Bhuvan joined him with an investment of Rs. 16,000. If the total profit at the ...
Raj invested Rs.35000 in a business. After 6 months, Rohan joins him with an investment of Rs.P. If at the end of the year the profit is Rs.60000 and pr...
A and B entered into a business investing their capital in the ratio of 22:21, respectively and the respective ratio of time for which they made their i...
A invests Rs. (P + 800). After four months, B joins with Rs. 3P. If the ratio of B’s annual profit share to A’s is 6:5, find (P − 200).
Relevant for Exams:
