Question

A quantity of rice suffices a family for 30 days if 5 KG of rice is given away to charity on every
consumption day. However, the same rice suffices the family for 25 days if 8 KG of rice is given away to
charity on every consumption day. What is the total quantity of rice the family had in store at the
beginning?

Answer 1

Answer:

Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant :

A. 40%

B. 25%

C. 36%

D. 24%

E. Cannot determined

Answer: Option C

Solution(By Examveda Team)

Let the price of wheat is x per kg. Then price of wheat will be 5x per kg.

Expenditure on rice = 25 × x = 25x

Expenditure of wheat = 9 × 5x = 45x

Total cost,

25x + 45x = 350

70x = 350

x = 5

Hence, price of Rice = Rs. 5 per kg.

Price of wheat = 25 per kg.

Now, price of wheat = 25 ---- 20% ↑----> Rs. 30 per kg.

Let the new amount of rice is N kg, then

N*5 + 9*30 = 350

N = 16 kg.

% decrease in the amount of rice

=(25−16)×10025=36%

Answer 2

The family had 23 kg rice in the beginning

Given:

A quantity of rice suffices a family for 30 days if 5 KG of rice is given away to charity on every consumption day

The same rice suffices the family for 25 days if 8 KG of rice is given away to

charity on every consumption day

To find:

The total quantity of rice the family had in store at the beginning

Solution:

Let the family had x kg in the beginning.

1. So, (x–5) kg rice suffices for 30 days
2. Again (x–8) kg rice suffices for 25 days.
3. So per day required rice =(x–8) /25 or (x–5) /30.
4. So, (x–8) /25=(x–5) /30
5. Or, 30x–240=25x–125

⇒ 5x=115

≅ x=23 kg.

∴  So family had 23 kg rice in the beginning.

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