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- Question
- Wheat is now being sold at ? 27 per kg. During last month, its cost was ? 24 per kg. Find by how much per cent a family reduced its consumption, so as to keep the expenditure fixed.
Options- A. 10.2%
- B. 12.1%
- C. 12.3%
- D. 11.1%
- Correct Answer
- 11.1%
ExplanationOld price of rice = ? 24/kg
New price of rice = ? 27 per/Kg
? increased in price of rice = New price - Old prices = 27 - 24 = ? 3/kg
? increased percentage in price = (3/24) x 100
= 121/2 %
Now, reduction in consumption, so as to keep the expenditure fixed.
According to the formula,
= [a/(100 + a)] x 100 %
=[1.25/(100 +12.5)] x 100%
= 11.1% - 1. The price of rice decreased by 6.25% and because of this reduction. Vandana is able to buy 1 kg more for ?120. Find the reduce rate of rice.
Options- A. ? 7.50 per kg
- B. ? 9 per kg
- C. ? 5.50 per kg
- D. ? 19 per kg Discuss
- 2. Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 500 kg, then what is its total weight when it is fresh?
Options- A. 2350 kg
- B. 2085 kg
- C. 2555 kg
- D. 2250 kg Discuss
- 3. In a class of 40 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 20% of the total number of the students. How many sweets were there?
Options- A. 280
- B. 240
- C. 320
- D. 360 Discuss
- 4. Due to a 25% increased in the price of rice per kilogram, a person is able to purchase 20 kg less for ? 400. What is the increased price of rice per kilogram?
Options- A. ? 5
- B. ? 6
- C. ? 10
- D. ? 4 Discuss
- 5. The price of rice is reduced by 5%. How many kilograms of rice can now be bought for the money, which was sufficient to buy 50 kg of rice earlier?
Options- A. 52.63 kg
- B. 50.40 kg
- C. 42.30 kg
- D. 60.50 kg Discuss
- 6. A marketing manager is able to manage an average of Rs240 per week during 40h week . But in the final week of the month, his rates are increased by 50%. Then find out the commission the marketing manager makes in that week, if he puts in 60h during that final week?
Options- A. 500
- B. 540
- C. 520
- D. 600 Discuss
- 7. A candidate attempted 12 questions and secured full marks in all of them. If he obtained 60% in the test and each questions carried equal marks, then what was the total number of questions in the test?
Options- A. 36
- B. 30
- C. 25
- D. 20 Discuss
- 8. Pradeep spends 40 percent of his monthly income on food items and 50 percent of the remaining, on cloths and conveyance. He saves one-third of the remaining amount after spending on food, clothes and conveyance. If he saves Rs.19,200 every year, what is his monthly income?
Options- A. Rs. 24000
- B. Rs. 12000
- C. Rs. 16000
- D. Rs. 20000 Discuss
- 9. Ashok gave 40 per cent of the amount he had to Jayant. Jayant in turn gave one-fourth of what he receive from Ashok to Prakash. After paying Rs. 200 to the taxi driver out of the amount he got from Jayant,Prakash now has Rs. 600 left with him.How much amount did Ashok have?
Options- A. 1200
- B. 4000
- C. 8000
- D. Data inadequate Discuss
- 10. Rajesh solved 80 percent of the questions in an examination correctly, out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions, 5 questions have been solved by Rajesh correctly then find the total number of question asked in the examination?
Options- A. 75
- B. 65
- C. 60
- D. Can't be determined Discuss
Percentage problems
Search Results
Correct Answer: ? 7.50 per kg
Explanation:
Let original rate of rice be ? x per kg
Reduced rate = ? [(100 - 6.25) x (1/100) x W]
= ? 15W/16 per kg
According to the question
120/(15W/16) - 120/W = 1
? (120 x 16)/15W - 120/W = 1
? 120 x 16 - 1800 = 15W
? 128 - 120 = W
? W = ? 8 per kg.
? Reduced rate = ? (15/16) x 8 per kg
=? 7.50 per kg
Correct Answer: 2250 kg
Explanation:
Let the weight of fresh grapes be W.
Quantity of water in it = (80/100) x W = 4W/5
Quantity of pulp in it = W - (4W/5) = W/5
Quantity of water in 500 gm dry grapes
= (10/100) x 500 = 50 kg
? Quantity of pulp in it = (500 -50) = 450 kg
W/5 = 450
? W = 2250 kg
Correct Answer: 280
Explanation:
Number of sweets received by every students = 15% of 40 = (40 x 15)/100 = 6
? Number of sweets received by 40 students = 40 x 6 = 240
Number of sweets received by each teacher = 20% of 40 = (40 x 20)/100 = 8
? Number of sweets received by 5 teachers = 8 x 5 = 40
? Total number of sweets = 240 + 40 = 280
Correct Answer: ? 5
Explanation:
Increase in the price of rice = 25%
? increased in ? 400 = 25% of ? 400
= 400 x (25/100) = ? 100
? Increased in rate of rice in 25%, there are 20kg less rice in ? 400 i.e., rate of 20 kg rice
= ? 100
= Rate of 1kg rice = 100/20 = ? 5
? Increased price of rice = ? 5 per kg
Correct Answer: 52.63 kg
Explanation:
Let original price be ? 100 per kg.
Money required to buy 50 kg of rice = ? (100 x 50) = ? 5000
New price = (100 - 5) = ? 95 per kg
? Quantity of rice bought = (5000/95) kg = 52.63 kg
Correct Answer: 540
Explanation:
Average rate per hr = 240/40 = Rs6/hr
In last week, his rate per hour increases by 50%,
so in the last week, his hourly rate = Rs.6 x (1+50%)= Rs.9
Total hour spent in final week = 60h
? Total commission = 60h x Rs.9/hr = Rs.540
Correct Answer: 20
Explanation:
Let the number of question be Y.
60% of Y = 12
60Y / 100 =12
Y = 20
Correct Answer: Rs. 16000
Explanation:
From question,
Food items = 40%
Clothes + conveyance = 50% of 60% = 30%
? Remaining amount = (100 - 40 - 30)% = 30%
? 1/3 of 30% = 19200
? 10% = 19200
? 100% = Rs. 192000
So his monthly income = 192000 / 12 = 16000
Correct Answer: 8000
Explanation:
? J = 40% of A =2A/5
? P = 1/4 x 2A/5 = A/10
? A/10 - 200 = 600
? A/10 = 800
? A = Rs. 8000
Correct Answer: 65
Explanation:
Suppose there are 8y questions were asked apart from the 41 question.Then
37 + 5y/41 + 8y = 80% = 4/5
? 185 + 25y = 164 + 32y
? 7y = 21
? y = 3
? Total no. of questions = 41 + 8 x 3 = 65.
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