ExamVeda
Login
Home

True Discount - Aptitude MCQ Questions and Solutions with Explanations

True Discount MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on True Discount with easy and logical explanations. True Discount MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-6 section-1

Each section contains 100 MCQs on True Discount .
51
If a person purchases a shirt, he gets 6% discount. However, if he purchases two shirts, he gets 5% on the first and 8% on the second. If the price paid by the person for two shirts is Rs. 925, then what will be the marked price of each shirts ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Let marked price = 100x, then by statement
95x + 92x → selling price of both
$$\eqalign{ & \Rightarrow 187x \to 925 \cr & \Rightarrow x \to \frac{{925}}{{187}} = 4.94 \cr & {\text{Marked price }} \cr & {\text{ = 4}}{\text{.94}} \times {\text{100 }} \cr & {\text{ = Rs}}{\text{. 494}} \cr} $$
52
The selling price of an article is Rs. 1920 and the discount given is 4%. The marked price of the article is = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let marked price = Rs. x
Selling price after 4% discount $${\text{ = Rs}}{\text{.}}\frac{{96x}}{{100}}$$
$$\eqalign{ & \therefore \frac{{96x}}{{100}} = 1920 \cr & \Rightarrow x = \frac{{1920 \times 100}}{{96}} \cr & \Rightarrow x = {\text{Rs. 2000}} \cr} $$
53
If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of Rs. 13. The amount of his electricity bill was = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the amount of bill = Rs. x
According to the question,
$$\eqalign{ & \Rightarrow \frac{{4x}}{{100}} = 13 \cr & x = \frac{{13 \times 100}}{4} \cr & x = {\text{Rs}}{\text{. 325}} \cr} $$

Alternate :
Let the amount of bill = 100 units
4% of 100 units = 4 units
$$\eqalign{ & \therefore \,{\text{ 4 units}} = {\text{ 13}} \cr & \Rightarrow \,{\text{1 unit}} = \frac{{13}}{4} \cr & \Rightarrow 100\,{\text{units = }}\frac{{13}}{4} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 325}} \cr} $$
54
The single discount equal to three consecutive discounts of 10%, 12% and 5% ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the marked price Rs. 100
$$\eqalign{ & {\text{Final selling price}} \cr & {\text{ = 100}} \times \frac{{90}}{{100}} \times \frac{{88}}{{100}} \times \frac{{95}}{{100}} \cr & {\text{ = Rs}}{\text{. 75}}{\text{.24 }} \cr & {\text{Net discount }} \cr & {\text{ = }}\left( {100 - 75.24} \right) \cr & {\text{ = 24}}{\text{.76}}\% \cr} $$

Alternate :
Single equivalent discount for 10% and 12%
$$\eqalign{ & = \left( {10 + 12 - \frac{{10 \times 12}}{{100}}} \right)\% \cr & = 20.8\% \cr} $$
Single equivalent discount for 20.8% and 5%
$$\eqalign{ & = \left( {20.8 + 5 - \frac{{20.8 \times 5}}{{100}}} \right)\% \cr & = 24.76\% \cr} $$
55
The difference between discount of 35% and two successive discount of 20% on a certain bill was 22, the amount of the bill is = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
1st discount = 35%
Single equivalent discount of 20% each
$$\eqalign{ & = \left( {20 + 20 - \frac{{20 \times 20}}{{100}}} \right)\% \cr & = {\text{ }}36\% {\text{ }} \cr & {\text{Difference}} \cr & = \left( {36\% - 35\% } \right) \cr & = 1\% \cr} $$
Let the amount of the bill Rs. x
$$\eqalign{ & \therefore \frac{1}{{100}}x = 22 \cr & x = {\text{Rs}}{\text{. }}2200 \cr} $$
56
A owes B, Rs. 1573 payable $${\text{1}}\frac{{\text{1}}}{{\text{2}}}$$ years hence. Also B owes A, Rs. 1444.50 payable 6 months hence. If they want to settle the account forthwith, keeping 14% as the rate of interest, then who should pay and how much ?
Discuss
Answer & Solution
Answer: Option D
Solution:
A owes = P.W. of Rs. 1573 due $$\frac{3}{2}$$ years hence
$$\eqalign{ & = {\text{Rs}}{\text{.}}\,\left[ {\frac{{1573 \times 100}}{{100 + \left( {14 \times \frac{3}{2}} \right)}}} \right]\, \cr & = {\text{Rs}}{\text{.}}\,\left( {\frac{{1573 \times 100}}{{121}}} \right) \cr & = {\text{Rs}}{\text{.}}\,1300. \cr} $$
B owes = P.W. of Rs. 1444.50 due 6 months hence
$$\eqalign{ & = {\text{Rs}}{\text{.}}\,\left[ {\frac{{1444.50 \times 100}}{{100 + \left( {14 \times \frac{1}{2}} \right)}}} \right]\, \cr & = \,{\text{Rs}}{\text{.}}\,\left( {\frac{{1444.50 \times 100}}{{107}}} \right) \cr & = {\text{Rs}}{\text{.}}\,1350. \cr & \therefore \,{\text{B}}\,{\text{must}}\,{\text{pay}}\,{\text{Rs}}{\text{.}}\,\,{\text{50}}\,{\text{to}}\,{\text{A}} \cr} $$
57
The marked price of the a watch is Rs. 1600. The shopkeeper gives successive discount of 10% and x% to the customer. It the customer pays Rs. 1224 for the watch, the value of x is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Marked price of watch = Rs. 1600
After 1st discount of 10%
$$\eqalign{ & {\text{ = 1600}} \times \frac{{90}}{{100}} \cr & {\text{ = Rs}}{\text{. 1440}} \cr} $$
Customer pays (final selling price) = Rs. 1224
$$\eqalign{ & \frac{x}{{100}} \times 1440 = \left( {1440 - 1224} \right) \cr & \frac{x}{{100}} \times 1440 = 216 \cr & x = \frac{{216 \times 100}}{{1440}} \cr & x = 15\% \cr} $$
58
A single discount equivalent to discount series 20% , 20% and 10% is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Single equivalent discount for 20% and 20%
$$\eqalign{ & = 20 + 20 - \frac{{20 \times 20}}{{100}} \cr & = 40 - 4 \cr & = 36\% \cr} $$
Single equivalent discount for 36% and 10%
$$\eqalign{ & = 36 + 10 - \frac{{36 \times 10}}{{100}} \cr & = 46 - 3.6 \cr & = 42.4\% \cr} $$
59
The single discount equivalent to the discount series of 20%, 10% and 5% is = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Single equivalent discount for 20% and 10%
$$\eqalign{ & = 20 + 10 - \frac{{20 \times 10}}{{100}} \cr & = 30 - 2 \cr & = 28\% \cr} $$
Single equivalent discount for 28% and 5%
$$\eqalign{ & = 28 + 5 - \frac{{28 \times 5}}{{100}} \cr & = 33 - 1.4 \cr & = 31.6\% \cr} $$
60
Successive discount of p% and q% on the catalogue price of an article is equivalent to a single discount of = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$ = \left( {p - q + \frac{{pq}}{{100}}} \right)\% $$