Percentage Practice Question and Answer
8 Q: The sum of weights of A and B is 80 kg. 50% of A's weight is $${5\over6}$$ times the weight of B. Find the difference between their weights.
1816 064ccef6ba919c8488e304799
64ccef6ba919c8488e304799- 120 kgtrue
- 210 kgfalse
- 325 kgfalse
- 415 kgfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "20 kg"
Explanation :
Let's denote the weight of A as 𝑥x kg and the weight of B as 𝑦y kg.
Given:
- 𝑥+𝑦=80x+y=80 (Sum of weights of A and B is 80 kg)
- 0.5𝑥=56𝑦0.5x=65y (50% of A's weight is 5665 times the weight of B)
We can solve these two equations to find the values of 𝑥x and 𝑦y, and then calculate the difference between their weights.
From equation 2: 0.5𝑥=56𝑦0.5x=65y Multiply both sides by 2 to get rid of the fraction: 𝑥=56𝑦×2x=65y×2 𝑥=106𝑦x=610y 𝑥=53𝑦x=35y
Now substitute this expression for 𝑥x into equation 1: 53𝑦+𝑦=8035y+y=80 83𝑦=8038y=80 Multiply both sides by 3883: 𝑦=80×38y=80×83 𝑦=30y=30
Now that we have found the weight of B, we can find the weight of A using equation 1: 𝑥+30=80x+30=80 𝑥=80−30x=80−30 𝑥=50x=50
So, the weight of A is 50 kg and the weight of B is 30 kg.
Now, let's find the difference between their weights: Difference=Weight of A−Weight of BDifference=Weight of A−Weight of B Difference=50−30Difference=50−30 Difference=20Difference=20
Therefore, the difference between their weights is 20 kg.
Q: A man gives 20% of his money to his eldest son, 30% of remaining he gives to his younger son. 10% of the remaining he gives in a school for poor boys still he has Rs.100.80. Find his total sum.
1810 060a213b2b1d2440614b906a9
60a213b2b1d2440614b906a9- 1Rs.800false
- 2Rs.600false
- 3Rs.400false
- 4Rs.200true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Rs.200"
Q: A man's annual income has increased by Rs. 5 lakhs but the tax on income that he has to pay has reduced from 12 % to 10 %. He now pays Rs. 10,000 more income tax. What is his increased income (in Rs. lakhs)?
1805 05ef570c8d7fe8173219bf5de
5ef570c8d7fe8173219bf5de- 115false
- 210false
- 320false
- 425true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "25"
Q: A number, on subtracting 15 from it reduces to its 80 %. What is 40 % of the number?
1803 05dcb9dd045ad6b59c82d7393
5dcb9dd045ad6b59c82d7393- 175false
- 260false
- 330true
- 490false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "30"
Q: Two numbers are respectively 20% and 50% of a third number. What percent is the first number of the second?
1800 05ef45d72d7fe81732198d339
5ef45d72d7fe81732198d339- 130%false
- 240%true
- 310%false
- 420%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "40%"
Q: Tonu invested 10 % more than the investment of Monu and Sonu invested 10 % less than the investment of Monu. If the total investment of all the three persons is ₹ 60, 000, the investment of Monu is –
1797 05e6b85708fcee56af203d114
5e6b85708fcee56af203d114- 1₹ 30,000false
- 2₹ 40,000false
- 3₹ 10,000false
- 4₹ 20,000true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "₹ 20,000 "
Q: A reduction of 20% in the price of wheat a person enables to purchase 4 kg more for Rs. 160. Find the original price of wheat?
1796 05ec71f639d324637e76c05c2
5ec71f639d324637e76c05c2- 18false
- 210true
- 315false
- 42false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "10"
Q: The number of employers working in a farm is increased by 25% and the wages per head are decreased by 25%. If it result in x% decreased in total wages, then the value of x is :
1794 05ef46562f2ebd073795c26ec
5ef46562f2ebd073795c26ec- 10%false
- 2$${25\over40}\%$$true
- 325%false
- 420%false
- Show AnswerHide Answer
- Workspace
- SingleChoice

