44270.The difference between Simple Interest and True Discount on a certain sum of money for 6 months at 12(1/2)% per annum is Rs 25. Find the sum.
Rs.6800
Rs.6500
Rs.6000
Rs.6200
44271.If the interest on Rs. 50 at 4(1/2) be equal to the discount on Rs. 59 for the same time and at the same rate when is the latter sum due ?
2 years
4 years
6 years
3 years
Explanation:
9/2 = [(59 - 50) x 100] / 50 x T
∴ T = 4 years
9/2 = [(59 - 50) x 100] / 50 x T
∴ T = 4 years
44272.The True Discount on a certain sum of money due 3 years hence is Rs.250 and SimpeInterest on the same sum for same time and same rate is Rs375. Find sum and rate%?
(16 + 4/3)%
(16 +1/3)%
(16 + 5/3)%
(16 + 2/3)%
Explanation:
sum = [(S.I x T.D)/(S.I-T.D)]
= Rs. [(375 x 250)/(375-250)]
= Rs.750
Rate = (100 x 375)/(750 x 3) =16(2/3) %
sum = [(S.I x T.D)/(S.I-T.D)]
= Rs. [(375 x 250)/(375-250)]
= Rs.750
Rate = (100 x 375)/(750 x 3) =16(2/3) %
44273.Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?
186
180
185
189
Explanation:
P.W = [100 x Amount] / [100+(R x T)]
=[100 x 930] / [100+(8x3)] = Rs. 750
T.D = Amount - P.W = 930 - 750 = Rs.180
P.W = [100 x Amount] / [100+(R x T)]
=[100 x 930] / [100+(8x3)] = Rs. 750
T.D = Amount - P.W = 930 - 750 = Rs.180
44274.Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.
300
350
250
275
Explanation:
P.W=$\dfrac{Amount}{\left(1+\dfrac{R}{100}\right)^{T}}$
=$\dfrac{2800}{\left(1+\dfrac{12}{100}\right)^{2}}$
= Rs.2500
TD = Amount - PW = 2800 - 2500 = Rs.300
P.W=$\dfrac{Amount}{\left(1+\dfrac{R}{100}\right)^{T}}$
=$\dfrac{2800}{\left(1+\dfrac{12}{100}\right)^{2}}$
= Rs.2500
TD = Amount - PW = 2800 - 2500 = Rs.300
44275.The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 25 and Rs. 20 respectively. The sum is ?
Rs. 500
Rs. 200
Rs. 250
Rs. 100
Explanation:
Sum = [(S.I.) x (T.D.)] / [(S.I.) - (T.D.)]
= Rs. (25 x 20) / (25 - 20)
= Rs. 100
Sum = [(S.I.) x (T.D.)] / [(S.I.) - (T.D.)]
= Rs. (25 x 20) / (25 - 20)
= Rs. 100
44276.The difference between the simple interest and the true discount on a certain sum of money foe 6 months at 6% is Rs. 27. Find the sum ?
Rs. 30900
Rs. 39000
Rs. 20900
Rs. 30600
Explanation:
Req. amount = [27 x (100 + 6 x 1/2) x 100] / [(6 x 1/2)2]
= (2700 x 103) / 9
= Rs. 30900
Req. amount = [27 x (100 + 6 x 1/2) x 100] / [(6 x 1/2)2]
= (2700 x 103) / 9
= Rs. 30900
44277.A man buys a watch for Rs. 195 in cash and sells it for Rs. 220 at a credit of 1 year. If the rate of interest is 10%, the man ?
Gains Rs. 15
Gains Rs. 3
Gains Rs. 5
Loses Rs. 5
Explanation:
P.W. of Rs. 220 due 1 year hence = Rs. (100 x 220) / (100 + 10)
= Rs. 200
hence, the man gains Rs. 5
P.W. of Rs. 220 due 1 year hence = Rs. (100 x 220) / (100 + 10)
= Rs. 200
hence, the man gains Rs. 5
44278.What will be the true discount for the present worth of ₹ 600 for a period of 4 yr at 4% per annum rate of interest?
₹ 100
₹ 32
₹ 86
₹ 96
Explanation:
Given that, T = 4 yr, R = 4%
PW = ₹ 600 and TD = ?
According to the formula, (1)
TD = (PW x R x T)/100
TD = (600 x 4 x 4)/100 = 6 x 4 x 4 = ₹ 96
Given that, T = 4 yr, R = 4%
PW = ₹ 600 and TD = ?
According to the formula, (1)
TD = (PW x R x T)/100
TD = (600 x 4 x 4)/100 = 6 x 4 x 4 = ₹ 96
44280.Find the present worth of Rs. 264 due in 2 years reckoning simple interest at 5 percent per annum ?
Rs. 240
Rs. 360
Rs. 540
Rs. 260
Explanation:
P.W. = (100 x 264) / (100 + 5 x 2)
= Rs. (100 x 264) / 110
= Rs. 240.
P.W. = (100 x 264) / (100 + 5 x 2)
= Rs. (100 x 264) / 110
= Rs. 240.