# True Discount Question & Answers

## True Discount

Quantitative aptitude questions are asked in many competitive exams and placement exam. 'True Discount' is a category in Quantitative Aptitude. Quantitative aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT), MAT, GMAT, IBPS Exam, CSAT, CLAT, Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense Competitive Exams, L.I.C/ G. I.C Competitive Exams, Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test (IT Companies) and etc., Government Exams etc.

We have a large database of problems on "True Discount" answered with explanation. These will help students who are preparing for all types of competitive examinations.

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at $\inline \fn_jvn 12\frac{1}{2}$% per annum is Rs 25. Find the sum.

 A) Rs.6800 B) Rs.6500 C) Rs.6000 D) Rs.6200

Explanation:

Let amount be Rs.x

T.D = $\inline&space;\fn_jvn&space;\frac{x\times&space;\frac{25}{2}\times&space;\frac{1}{2}}{100+\left&space;(&space;\frac{25}{2}\times&space;\frac{1}{2}&space;\right&space;)}$  =$\inline&space;\fn_jvn&space;\frac{x}{17}$

S.I = $\inline&space;\fn_jvn&space;\frac{x\times&space;\frac{25}{2}\times&space;\frac{1}{2}}{100}$ =$\inline&space;\fn_jvn&space;\frac{x}{16}$

$\fn_jvn&space;\therefore$  $\fn_jvn&space;\frac{x}{16}-\frac{x}{17}=25$  $\fn_jvn&space;\Rightarrow$  $\inline&space;\fn_jvn&space;17x-16x=25\times&space;16\times&space;17$  $\inline&space;\fn_jvn&space;\Rightarrow$ $\inline&space;\fn_jvn&space;x=6800$

Subject: True Discount - Quantitative Aptitude - Arithmetic Ability

10

The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?

 A) 715 B) 469 C) 400 D) 750

Explanation:

Let C.P be Rs. x

900 - x = 2(x - 450)

=> x = Rs.600

C.P = 600 gain required is 25%

S.P = [(100+25)*600]/100

= Rs.750

Subject: True Discount - Quantitative Aptitude - Arithmetic Ability

5

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

 A) gains Rs. 55 B) gains Rs. 50 C) loses Rs. 30 D) gains Rs. 30

Explanation:

Subject: True Discount - Quantitative Aptitude - Arithmetic Ability

4

A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

 A) 0% B) 5% C) 7.5% D) 10%

Explanation:

C.P =Rs.3000

S.P =$\inline&space;{\color{Black}Rs.[\frac{3600\times&space;100}{100+(10\times&space;2)}]=Rs.3000}$

Gain =0%

Subject: True Discount - Quantitative Aptitude - Arithmetic Ability

9

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

 A) Rs.12880 B) Rs.12000 C) Both are equally good D) None of the above

Explanation:

PW of Rs.12,880 due 8 months hence

= Rs$\inline&space;\fn_jvn&space;\left&space;[&space;\left&space;(&space;\frac{12880\times&space;100}{100+(18\times&space;\frac{8}{12})}&space;\right&space;)&space;\right&space;]$ =Rs.11500

Clearly 12000 in cash is a better offer.