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.
P and Q together can complete 75% of a work in 15 days while Q alone takes 40% more time than P and Q together to complete the whole work. Find the time...
Ratio of the work done by P, Q and R in one day is 8:5:9 respectively. They all together can complete the work in 40 days. Q and R worked on it for 32 d...
Pawan can finish a task in 28 days, while Bhavna requires 7 more days than Pawan to complete the same task. They both started wor...
30 men can complete a piece of work in 11 days. 15 men started the same work and worked for 8 days, and then joined by ‘x’ more men such that the re...
'M' alone finishes a project in 30 days. 'M' and 'N' together can complete the same project in 16(2/3) days. How many days would 'N' need to do the proj...
A and B together, B and C together and A and C together can complete a piece of work in 14 days, 15 days and 18 days respectively. Find the ratio of the...
‘R’ and ‘S’ can complete an assignment in 72 days and 90 days respectively while ‘R’, ‘S’ and ‘T’ together can complete the same ass...
A and B are capable of completing a project individually in 40 days and 50 days, respectively. Initially, A and B collaborated on the project, and after...
P can do a piece of work in 15 days, Q can complete double the work in 30 days and R can do the work in 25 days. If all of them together earn Rs. 2600, ...
Find the value of "w" if Armaan can complete a Sales target in (w + 20) days, Malik can complete it in (w + 44) days, and when they work together, they ...
Relevant for Exams:
