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# True Discount Questions

Home > Quantitative Aptitude > True Discount > General Questions
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Choose the correct option.

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:

ARs. 1166

BRs. 1360

CRs. 1927

DRs. 1764

Explanation:

Let, P.W be Rs. x.

Then, S.I on Rs. x at 16% for 9 months = Rs. 189

So, x * 16 * $$\left(\frac{ 9}{12}\right)$$ * $$\left(\frac{ 1 }{ 100 }\right)$$ = 189

or, x= Rs. 1575

Therefore, Amount due = P.W + T.D

= Rs. ( 1575 + 189 )

= Rs. 1764

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A owes B, Rs. 1573 payable 1$$\frac{1}{2}$$ 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 ?

ARs. 28.50

BRs. 37.50

CRs. 5.0

DRs. 50

Explanation:

A owes = P.w of Rs. 1573 due 3/2 years hence

= Rs. $$\left[\frac{1573 * 100 }{100 + 14 * \left(\frac{3}{2}\right)}\right]$$

= Rs. ( 1573 x 100 ) / 121

= Rs. 1300

B owes = P.W of Rs. 1444.50 due 6 months hence

= Rs. $$\left[\frac{1444.50 * 100}{100 + 14 * \left(\frac{ 1}{2}\right)}\right]$$

= Rs. $$\left(\frac{1444.50 * 100}{ 107}\right)$$

= Rs. 1350

Therefore, B should pay Rs. ( 1350 - 1300 ) = Rs. 50, to A.

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The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A1500

B1600

C6200

D6000

Explanation:

Let the amount of the bill be Rs. a

Then,

$$\left[\frac{a * r * t}{ 100 + ( r * t )}\right]$$ = T.D

or, $$\left[\frac{a * 12 * \frac{3}{4} } {100 + ( 12 * \frac{3}{4})}\right]$$ = 540

or, a = 540*$$\frac{109}{9}$$

or, a = Rs. 6540

Therefore, Amount = Rs. 6540

Hence, Present worth, P.W = Rs. ( 6540 - 540 )

= Rs. 6000

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The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.

ARs.1175

BRs.1375

CRs.1475

DRs.1575

Explanation:

Here is no explanation for this answer

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The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.

A(6 + $$\frac{2}{3}$$)%

B(5+ $$\frac{2}{3}$$)%

C(2+ $$\frac{2}{3}$$)%

D(4+ $$\frac{2}{3}$$)%

Explanation:

Sum can be calculated as,

S = $$\frac{S.I * T.D }{S.I - T.D}$$

= Rs. $$\left[\frac{120 * 100}{120 - 100}\right]$$

= Rs. 600

And, Rate = $$\left[\frac{100 * 120 }{ 600 x 3}\right]$$

= 6.667%

= (6 + $$\frac{2}{3}$$) %

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