If 4200 men have sufficient food for 32 days at a rate of 12 hectogram per person, how many men may leave so that the same food be sufficient for 42 days at a rate of 16 hectogram per person?  Solution:     As the number of days …

If the price of 12 Eggs is Rs.96, how many eggs can be bought with Rs.80? (ans. 10 eggs) Solution:  We see that as the amount decreases the number of toys also decreases. So it is a direct proportion. So the arrows will be drawn…

10 men have ration for 21 days in a camp. If 3 men leave the camp, for how many days will the ration be sufficient for the remaining men?  Solution:   Total men = 10  The men leave the camp = 3  The remaining men = 7  We see that…

If 35 labourers dig 805 cm³ of earth in 5 hours, how much of the earth will 30 labourers dig in 6 hours?   Solution:   According to given conditions, As the number of labourers decrease, the earth dug will also decrease. It is a …

Rs.8,000 are sufficient for a family of 4 members for 40 days. For how many days Rs.15,000 will be sufficient for a family of 5 members?  Solution:     According to given conditions, as the amount increases the number of days als…

Ten men can assemble 400 cycles in 8 days. How many cycles 5 men will assemble if they work for 16 days? Solution:   As the men decrease, the less cycles will be assembled. so, It is a direct proportion.  As the number of days in…

1440 men had sufficient food for 32 days in a camp. How many men may leave the camp so that the same food is sufficient for 40 days when the ration is increased by 1`\frac{1}{2}` times? [Hint: The 1st element (food) is 1 and th…

15 machines prepare 360 sweaters in 6 days. 3 machines get out of order. How many sweaters can be prepared in 10 days by the remaining machines?  Solution:   Given:  Total Machine = 15 Machine get out order = 3 Remaining machine …

14 masons can build a wall 12 metres high in 12 days. How many masons will be needed to build a wall 120 metres high in 7 days?  Solution:   As the Height of wall increase, the more masons will be needed. so, It is a direct propo…

If the fare of 12 quintal luggage for a distance of 18 km is 12 rupees, how much fare will be charged for a luggage of 9 quintals for a distance of 20 km?   Solution:   As the quintal luggage decrease, the fare will decrease. so,…

70 men can complete a wall of 150 metres length in 12 days. How many men will complete the wall of length 600 metres in 30 days? Solution:   As the length of wall increase, the more men will be needed. so, It is a direct proporti…

If 15 laboures earn Rs. 67,500 in 9 days, how much money will 10 laboures earn in 12 days?  Solution:   We see that as the number of labourers decrease, the amount of earning will also decrease. It is a direct proportion.  As the…

If the price of a carpet 8 metres long and 3 metres wide is Rs. 6288, what will be the price of 12 metres long and 6 metre wide carpet?  Solution:   As the length of carpet increase, the price will also increase. It is a direct p…

If 60 women spin 48 kg of cotton by working 8 hours daily, how much cotton will 30 women spin by working 12 hours daily?   Solution:   As the number of Women decrease, the cotton spin will also decrease. It is a direct proportion…

30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily? Solution:   As the number of Men increases, the days for road repairing will decrease. It is a …