This set of Aptitude Questions and Answers (MCQs) focuses on “Relation of Values”.
1. A share is marked 60% more than its nominal value. If the selling price of the share is 360 rupees, find the nominal price of the share.
a) 225 rupees
b) 250 rupees
c) 275 rupees
d) 300 rupees
View Answer
Explanation: The market value of the share = nominal value + the excess price
The market price of the share = nominal price of the share + 60% of the nominal price
Let the nominal price of the share be x.
X + 60% of x = 1.6x = 360 rupees
1.6x = 360, x = 360 / 1.6 = 225 rupees
The nominal price of the share = 225 rupees.
2. A share is marked 15% more than its face value. If The selling price of the share is 5% less than the market price, what percentage of face value is the selling price.
a) 85.75%
b) 109.25%
c) 117.85%
d) 124.55%
View Answer
Explanation: Let the face value of the share be 100.
The market value of the share = 100 + 15% of 100 = 100 + 15 = 115
The selling price = 115 – 5% of 115 = 115 – 5.75 = 109.25
The percentage of face value over selling price = 109.25 / 100 * 100 = 109.25%
3. The face value of a share is 60% of its market value. The selling price of the share is 20% less than its market value. Find the face value if the selling price is 24.32 rupees.
a) 12.68
b) 18.24
c) 22.86
d) 30.50
View Answer
Explanation: Let the market value be 100.
The face value is 60% of the market value = 60% of 100 = 60
The selling price of the share is 20% less than the market value = 100 – 20% = 100 – 20 = 80, 80 = 24.32, 60 = 24.32 / 80 * 60 = 18.24 rupees
The face value = 18.24 rupees.
4. A share is marked 65% more than its face value. If the marked price is 90% more than the selling price, find the relation of face value and selling price.
a) The selling price = the face value
b) The selling price = 86.84% of the face value
c) The selling price = 90.25% of face value
d) The selling price = 96.88% of the face value
View Answer
Explanation: Let the face value of the share be 100.
The market value of the share = 65% more than face value = 100 + 65% of 100 = 100 + 65 = 165
The market price is 90% more than the selling price.
The selling value = 165 / 190 * 100 = 86.84
The selling price = 86.84% of the face value.
5. The market value of the share is 100% more than the face value. Find the relation between face value and discount if the selling price is 50% less than the market value.
a) Discount = the face value
b) Discount = 56% of the face value
c) Discount = 34% of the face value
d) Discount = 22% of the face value
View Answer
Explanation: Let the face value of the share be 100.
The market value of the share = 100% more than the face value = 100 + 100% of 100 = 200
The selling price = 50% less than the market value = 200 – 50% of 200 = 100
The discount = 200 – 100 = 100
The relation between discount and face value is discount = the face value.
6. A share is marked 19.5% more than its nominal value. If the selling price of the share is 836.5 rupees, find the nominal price of the share.
a) 700 rupees
b) 750 rupees
c) 745 rupees
d) 755 rupees
View Answer
Explanation: The market value of the share = nominal value + the excess price
The market price of the share = nominal price of the share + 19.5% of the nominal price
Let the nominal price of the share be x.
X + 19.5% of x = 1.195x = 836.5 rupees
1.195x = 836.5, x = 836.5 / 1.195 = 700 rupees
The nominal price of the share = 700 rupees.
7. The market value of a share is 80% of the face value. If the selling price = the market value, what percentage of the selling price is the face value.
a) 125% of the selling price = the face value
b) 150% of the selling price = the face value
c) 175% of the selling price = the face value
d) 80% of the selling price = the face value
View Answer
Explanation: Let the face value be 100.
The market value = 80% of the face value = 80
The selling price = the market value = 80
Face value in terms of the selling price = face value is 100 / 80 * 100 = 125% of the selling price.
8. The selling price of a share is 27% of its face value. If the discount is 7227 rupees, find the face value.
a) 8100
b) 8200
c) 9300
d) 9900
View Answer
Explanation: Here, the market value of the share is not given so we will assume the face value is the market value.
Let the face value be x.
The selling price = 27% of the face value = 0.27x
The discount = x – 0.27x = 0.73x
0.73x = 7227, x = 7227 / 0.73 = 9900
9. A share is marked 80% more than its face value. If the marked price is 30% more than the selling price, find the relation of face value and selling price.
a) The selling price = the face value
b) The selling price = 138% of the face value
c) The selling price = 145% of face value
d) The selling price = 157% of the face value
View Answer
Explanation: Let the face value of the share be 100.
The market value of the share = 80% more than face value = 100 + 80% of 100 = 100 + 80 = 180
The market price is 30% more than the selling price.
The selling value = 180 / 130 * 100 = 138.46 ≈ 138
The selling price = 138% of the face value.
10. The market value of the share is 88% more than the face value. Find the relation between face value and discount if the selling price is 12% less than the market value.
a) Discount = 22.56% of the face value
b) Discount = 34.85% of the face value
c) Discount = 44.35% of the face value
d) Discount = 47.74% of the face value
View Answer
Explanation: Let the face value of the share be 100.
The market value of the share = 88% more than the face value = 100 + 88% of 100 = 188
The selling price = 12% less than the market value = 188 – 12% of 188 = 165.44
The discount = 188 – 165.44 = 22.56
The relation between discount and face value is discount = 22.56% of face value.
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