Q1. If the duty on an article is reduced by 40% of its present rate by how much percent must its consumption increase in order that the revenue remains unaltered?
(a) 60%
(b) 62(1/2)%
(c) 72%
(d) 66(2/3)%
Q2. If a number is increased by 20% and the resulting number is again increased by 20%, what percent is the total increase:
(a) 48%
(b) 44%
(c) 41%
(d) 40%
Q3. A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs. 4,500 per month which is equal to half the balance after spending on food the transport, his monthly salary is:
(a) Rs. 11,250
(b) Rs. 22,500
(c) Rs. 25,000
(d) Rs. 45,000
Q4. In an election, there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is:
(a) 745
(b) 1460
(c) 1490
(d) 1500
Q5. The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the current value of the machine is Rs. 729, its worth 3 years ago was:
(a) Rs. 1000
(b) Rs. 750.87
(c) Rs. 947.10
(d) Rs. 800
Q6. The value of a machine is Rs. 6,250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?
(a) Rs. 2,650
(b) Rs. 3,050
(c) Rs. 3,150
(d) Rs. 3,510
Q7. In an alloy, there is 12% of copper, to get 69 kg of copper, how much alloy will be required?
(a) 424 kg
(b) 575 kg
(c) 828 kg
(d) 17362/3kg
Q8. The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The price of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by:
(a) 14(1/8)%
(b) 7(1/8)%
(c) 28(1/8)%
(d) None of these
Q9. A reduction in the price of apples enables a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is the % of reduction in price?
(a) 20%
(b) 25%
(c) 30%
(d) 331/3%
Q10. A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3 cm. If the length of AC is increased by 6%, the length of CB is decreased by:
(a) 6%
(b) 7%
(c) 8%
(d) 9%
Q11. The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12% then the numbers obtained are equal. The smaller number is
(a) 280
(b) 240
(c) 210
(d) 300
Q12. If selling price of an article is 8/5 times its cost price, the profit percent on it is:
(a) 120%
(b) 160%
(c) 40%
(d) 60%
Q13. The cost price of 8 articles is equal to the selling price of 9 articles. The profit or loss percent in the transaction is
(a) 12(1/2)% loss
(b) 12(1/2)% profit
(c) None of these
(d) 11(1/9)% loss
Q14. Two bicycles were sold for Rs. 3990 each gaining 5% on the and losing 5% on other. The gain or loss percent on the whole transaction is:
(a) neither gain nor loss
(b) 2.5% gain
(c) 2.5% loss
(d) 0.25% loss
Q15. A man sold two watches for Rs. 240 each. On one he gains 20% and incurs a loss of 20% on another. What is his gain or loss percent in this transaction?
(a) 1% profit
(b) 2% loss
(c) 4% profit
(d) 4% loss
SOLUTIONS
S1. Ans.(d)
Sol. % change = R/(100 ± R) × 100%
Required answer = 40/((100 – 40) ) × 100
= 40/60 × 100 = 200/3 = 662/3%
S2. Ans.(b)
Sol. Total % increase
= 20 + 20 + (20 × 20)/100 = 44%
