Q11 of 80 Page 56

One fourth of a herd of deer has gone to the forest. One third of the total number is grazing in a field and remaining 15 are drinking water on the bank of a river. Find the total number of deer.

Let the total number of deer in the herd be x.

One fourth of the herd is in the forest.


∴ The number of deer in the forest = .


One third of the herd is grazing in a field.


∴ The number of deer grazing in the field = .


Number of deer drinking water = 15.


According to the given condition,



⇒ (Transposing 15 to RHS and LCM of 3 and 4


is 12)


⇒


(Multiplying by 12 on both sides)


⇒ 7x = 12x – 180 (Removing bracket)


⇒ 7x – 12x = -180 (Transposing 12x to LHS)


-5x = -180


⇒ x = (Transposing -5 to RHS)


x = 36


∴ The total number of deer in the herd is 36.


More from this chapter

All 80 →
9

A and B together can finish a piece of work in 12 days. If ‘A’ alone can finish the same work in 20 days, in how many days B alone can finish it?

 10

If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at 50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.

 12

By selling a radio for `903, a shop keeper gains 5%. Find the cost price of the radio.

 13

Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has 7 sweets left. How many did he have to start with?