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Syllabus
Q21. A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between the two towns.
[ Hint : First find the speed of the steamer in still water.]
Q22. Ranjana's mother gave her Rs.245 for buying New Year cards. If she got some 10-rupee cards, as many 5 rupee cards, and as many 15 rupee cards, how many of each kind did she buy ?
Q23. The enrolment in a school this year is 552. This is an increase of 15% over last year's enrolment. How many were enrolled last year?
Q24. A fruit vendor buys some oranges at the rate of Rs. 5 per orange. He also an equal number of bananas at the rate of Rs.2 per banana. He makes a 20% profit on oranges and a 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs.390. Find the number of oranges purchased.
Q. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The time taken by A to complete the remaining work is:
(a) 8 days
(b) 12 days
(c) 7 days
(d) 15 days
Question no 8
8. Raziya buys some shirts at ₹100 per shirt and some T-shirts at ₹180 per T-shirt. For every 4 shirt, the buys 2 T-shirts. She sells all the shirts and T-shirts at 5% and 10% profit respectively. Her total sales is ₹15,504. How much shirts did she buy?
Q22. Ranjana's mother gave her Rs. 245 for buying New year cards. If she got some 10-rupee cards, as many 5 rupee cards, and as many 15-rupee cards , how many of each kind did she buy .
Find x.
Q. Solve the following equations.
15.
Solve the following systems of simultaneous linear equations by the substitution method.
21-3(x-7)=X+20
21-3X-21=X+20
21-21=+3X+1X
0=4X
x-5y-4=0
Q.9.