25. Ramesh gets a lumpsum amount of retirement. First
he spends 70% to buy a house 33% of the remained,
he spends on his daughter’s marriage from the
balance he invest 60% in a business and finally he is
left with Rs. 2,25,500. How much did he get on
retirement ?
26. The price of a saree is reduced by successive
discounts of 10% and 15%. Find the net percentage
decrease in price.
27. The price of a Maruti car is first increased by 12%
and later on reduced by 10%. If the original price
was Rs. 4,00,000. What is the final price and the %
change in the price ?
28. In an election between two candidates 60% of the
votes cast their votes, out of which 5% of the votes
were declared invalid. A candidate got 17,100 votes
which were 75% of the total valid votes. Find the
total number of votes enrolled in that election.
29. Roma’s Mathematics test had 75 problems, i.e. 10
Arithmetic, 30 Algebra and 35 Geometry problems.
Although she answered 60% of arithmetic, 50% of
the algebra and 40% of the Geometry problems correctly.
She did not pass the test because she got less
than 60% of the problems correct. How many more
questions she would have needed to answer correctly
to score a 60% passing grade ?
30. If 80% of (x – y) = 50% (x + y), then what per cent
of x is y ?
31. A salesman’s commission is 5% on all sales upto
Rs. 10,000 and 4% on all sales exceeding this. He
remits Rs. 31,100 to his parent company after deducting
his commission. Find the total sales of salesman.
32. Radha spends 80% of her income. After a increment,
her income is increased by 40% and she also
increased her expenditure by 35%. Find the percentage
increase in savings.
33. The weight of the container alone is 25% of the
container filled with a certain fluid when some fluid
is removed, the weight of the container and remaining
fluid is 50% of the original total weight. What fractional
part of the liquid has been removed ?
34. In a competitive examination in stage X, 10% candidates
got selection from the total appeared candidates.
Stage Y had an equal number of candidates
appeared and 12% candidates got selected with 80
more candidates got selected than X. What was the
number of candidates appeared from each stages ?
35. The price of maruti is Rs. 10,00,000. It was insured
to 90% of its price. The maruti was damaged
completely man’s accident and the insurance company
paid 80% of the insurance. What was the
difference between the price of maruti and the
amount received ?
36. A bag contains 800 coins of 25 (Paise) denomination
and 1500 coins of 50 (Paise) denomination. If 12%
of 25 (Paise) coins and 24% of 50 (Paise) coins are
removed. The percentage of money removed from
the bag is nearly ?
37. A reduction of 20% in the price of rice enables a
person to buy 10 kg more for Rs. 100. What is the
reduced price / kg.
38. A reduction of 30% in the price of wheat enables a
person to buys 3 kg. more for Rs. 90. Find the
original price of wheat / kg. ?
39. A class has girls and boys in the ratio 2 : 3. Among
the girls, the ratio of Mathematics to Physics students
is 4 : 5. If the ratio of Mathematics and Physics
students in the entire class is 1 : 2. What percentage
of class comprises girls studying Mathematics ?
40. If X2
% of Y = Y2% of Z. And Z4
% of X = Y%
of Y. Find the relation between X and Y.
41. One type of liquid contains 30% of water and the
second type of liquid contains 40% of water. A glass
is filled with 10 parts of first liquid and 6 parts of
second liquid. What is the percentage of water in
the new mixture in the glass ?
42. Due to an increase of 30% in the price of eggs, 3
eggs less are available for Rs. 7·80. What is the
present rate of eggs per dozen ?
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