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Ram Lal is a renowned packager of fruits in Varanasi. He packs 70 mangoes or 56 guavas every day working 7 hours a day. His wife also helps him. She packs 30 mangoes or 24 guavas working 6 hours per day. Ram Lal has to pack 3300 mangoes and 2400 guavas with help of his wife. They works alternately, each day 10 hours. His wife started packaging firs day and works every alternate days. Similarly, Ram Lal started his work second day and and worked alternatively till the completion of the work. In how many days the work will finished?

Correct Answer: 84
Mango Packing rate of Ram Lal = $$\frac{{70}}{7}$$ = 10 per hourGuavas Packing rate of Ram Lal = $$\frac{{56}}{7}$$ = 8 per hourMango Packing rate of Ram Lal's Wife = $$\frac{{30}}{6}$$ = 5 per hourGuavas Packing rate of Ram Lal's Wife = $$\frac{{24}}{6}$$ = 4 per hour On comparing,8 Guavas = 10 Mangoes1 Guavas = $$\frac{{10}}{8}$$ Mangoes2400 Guavas = $$\frac{{10 \times 2400}}{8}$$   = 3000 MangoesThis means that they need to pack (6300 + 3000) MangoesCombined Mango Packing rate of Both = 10 + 5 = 15 per hourWe will take 2 days = 1 time unit.Working 10 hours a day they will pack 150 Mangoes in 1 time unitTotal time taken to pack 6300 Mangoes = $$\frac{{6300}}{{150}}$$  = 42 time unitSo, total time taken = 2 × 42 = 84 days

The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging :

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

Three mangoes, four guavas, and five watermelons cost Rs. 750. Ten watermelons, six mangoes and 9 guavas Cost Rs. 1580. What is the cost of six mangoes, ten watermelons and 4 guavas?

A factory that employs 1000 assembly -in workers pays each of these workers at a rate of Tk. 5 per hour for the first 40 hours worked during a week and 1.5 times that rate for the hours worked in excess of 40 hours. whatis the total amount paid to the workers in a week in which 30% of the workers worked 20 hours, 50% worked 40 hours and the rest of the workers worked 50 hours?

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. According to the author, God is not looking for _____ to manifest his works.

A started a ,work and left after working for 2 days. Then B was called and he finished the work in 9 days. had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone, finish the whole work ?

Ram Lal & Co., a sole proprietary of Ram Lal, files a suit against 'X' for recovery of money. 'X' files a Counter Claim in the said suit for recovery of money owed by Shyam Lal & Co., a sole proprietary of Shyam Lal, son of Ram Lal:

A retailer buys pens in packs of 24 for Tk.336/pack and then resells them in packs of 5 for Tk.80/pack. If the retailer sold all the pens it purchased and made a profit of Tk.960. How many packs of pens did the retailer purchase?

A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?

A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work the work together but A left 8 days before the completion of the work and B 12 days before the completion of work. Only C worked up to the end. In how many days was the work completed?