Percentage
- The population of a town is 10,000. If the males increases by 5% and the females by 6%, the population will be 10,540. How many females are there?
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If the number of women be x, then men = 10000 – x
∴ x × 6 + (10000 - x) × 5 = 10540 – 10000 = 540 100 100
⇒ 6x + 50000 – 5x = 54000
⇒ x = 4000Correct Option: A
If the number of women be x, then men = 10000 – x
∴ x × 6 + (10000 - x) × 5 = 10540 – 10000 = 540 100 100
⇒ 6x + 50000 – 5x = 54000
⇒ x = 4000
- A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for 100. What is the reduced price per kg ?
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Original price of wheat = Rs. x /kg.
New price = Rs. 79x per kg 100 ∴ 100 - 100 = 10.5 79x x 100 ⇒ 100 
100 - 79 
= 10.5 79x
⇒ 100 × 21 = 10.5 × 79x⇒ 79x = 21 = Rs.2.50 per kg 100 10.5 Correct Option: A
Original price of wheat = Rs. x /kg.
New price = Rs. 79x per kg 100 ∴ 100 - 100 = 10.5 79x x 100 ⇒ 100 100 - 79 = 10.5 79x
⇒ 100 × 21 = 10.5 × 79x⇒ 79x = 21 = Rs.2.50 per kg 100 10.5
- Mahima secured 50% marks in Hindi, 60% in English and 70% in Maths as well as in science. What were her total marks if the maximum marks obtainable in each of these 4 subjects was 50?
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Total marks obtained
= 25 + 30 + 70 = 125Correct Option: C
Total marks obtained
= 25 + 30 + 70 = 125
- When 50 is subtracted from 50% of a number, result is 50. The number is :
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If the number be x, then
x - 50 = 50 2 ⇒ x = 100 2
⇒ x = 200Correct Option: C
If the number be x, then
x - 50 = 50 2 ⇒ x = 100 2
⇒ x = 200
- A person makes a profit of 60000 in his business. 40% of the profit he reinvests in his business for its diversification. Of the remaining profit he distributes 30% as bonus to his employees, 20% he denotes in charity and rest on advertisement. Find the amount spent on advertisement.
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Total profit = ₹ 60000
Amount reinvested in business
= 40% of ₹ 60000 = ₹ 24000
Remaining amount of the profit
= 60% of ₹ 60000 = ₹ 36000
Bonus to employees
= 30% of ₹ 36000 = ₹ 10800
Donation for charity
= 20% of ₹ 36000 = ₹ 7200
Amount spent on advertisement
= ₹ (36000 – 10800 – 7200) = ₹ 18000Correct Option: A
Total profit = ₹ 60000
Amount reinvested in business
= 40% of ₹ 60000 = ₹ 24000
Remaining amount of the profit
= 60% of ₹ 60000 = ₹ 36000
Bonus to employees
= 30% of ₹ 36000 = ₹ 10800
Donation for charity
= 20% of ₹ 36000 = ₹ 7200
Amount spent on advertisement
= ₹ (36000 – 10800 – 7200) = ₹ 18000
