A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Correct answer: A. Rs.900
- A. Rs.900
- B. Rs.800
- C. Rs.500
- D. Rs.1000
Explanation
If the income is x rupees, education uses 1/5, leaving 4/5x rupees. Food uses 20% of this remainder, so 80% remains: 0.8 x 0.8x = 0.64x = Rs.576, hence x = Rs.576/0.64 = Rs.900. The likely trap is Rs.800, which results from applying the 20% food deduction to the original income instead of the remaining income.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Percentages
Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Percentages questions
In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
In an examination 40% failed in Urdu, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is________?