General Mathematics

Question: Goods were bought for Rs.`600` and sold the same day for Rs.`688.50` at a credit of `9` months and thus gaining `2%`. The rate of interest per annum is :
A
`16 2/3%`

B
`14 1/2%`

C
`13 1/3%`

D
`15%`

Note: S.P.`= 102%` of `Rs. 600` `=Rs. (102/100 xx 600)` `= Rs. 612` Now, P.W.`= Rs. 612` and sum `=Rs. 688.50.` :. T. D. = Rs. (688.50 - 612)` `= Rs. 76.50.` Thus, S.I. on `Rs. 612` for `9` months is `Rs. 76.50.` :. Rate`= ((100 xx 76.50)/(612 xx 3/4))%` `= 16 2/3%`.
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Question: The present worth of Rs.`1404` due in two equal half yearly instant at `8%` per annum simple interest is :
A
`Rs. 1325`

B
`Rs. 1300`

C
`Rs. 1350`

D
`Rs. 1500`

Note: Required sum = P.w. of` Rs.702` due `6` months hence + P.W. `702` due `1` year hence `= Rs. [((100 xx 702)/(100 + 8 xx 1/2)) + ((100 xx 702)/(100 + (8 xx 1)))]` `= Rs. (675 + 650)` `= Rs. 1325`.
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Question: A trader owes a merchant Rs.`10028` due `1` year hence. The trader to settle the account after `3` months. If the rate of interest is `12` annum, how much cash should he pay ?
A
`Rs. 9025.20`

B
`Rs. 9200`

C
`Rs. 9600`

D
`Rs. 9560`

Note: Required money `= P.W. of Rs. 10028` due `9` months hence `=Rs. [(10028 xx 100)/(100 + (12 xx 9/12))]` `= Rs. 9200.
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Question: A man buys a watch for Rs. `1950` in cash and sells it for Rs.`9560` 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
gains `Rs. 30`

D
gains`Rs. 30`

Note: S.P. = p.w. of `Rs. 2200` due `1` year hence `= Rs. [(200 xx 100)/(100 + (10 xx 1))]` `= Rs. 2000.` :. Gain `= Rs. (2000 - 1950)` `= Rs. 50.`
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Question: 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%`

Note: C.p. `= Rs. 3000.` `= Rs.[(3600 xx 100)/(100 + (10 xx 2))]` `= Rs. 3000.` Gain `= 0%`
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Question: A owes B, Rs.`1573` payable `1 1/2` years hence, Also B owes A, Rs.`1444.50` payable `6` months hence. If they want to settle the account forth with, keeping `14%` as the rate of interest, then who should pay and how much ?
A
`A, Rs. 28.50`

B
`B, Rs. 37.50`

C
`A, Rs. 50`

D
`B, Rs. 50`

Note: A owes = p.w. of `Rs. 1573` due `3/2` years hence `= Rs. [(1573 xx 100)/(100 + (14 xx 3/2))]` `= Rs. ((1573 xx 100)/(121))` `= Rs. 1300.` B owes = p.w. of `Rs. 1444.50` due `6` months hence `= Rs. [(1444.50 xx 100)/(100 + (14 xx 1/2))]` `= Rs. ((1444.50 xx 100)/(107))` `= Rs. 1350` :. B must pay `Rs. 50` to A.
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Question: A has to pay Rs. `220` to B after `1` year B asks A to pay Rs.`110` in cash and defer the payment of Rs.`110` for `2` years. A agrees to it. If the rate of interest be `10%` per annum, in this mode of payment :
A
There is no gain or loss to any one

B
A gains `Rs. 7.34`

C
A loses `Rs. 7.34`

D
A gains` Rs. 11`

Note: A has to pay `= p.w. of Rs. 220` due `1` year hence `= Rs. [(220 xx 100)/(100 + (10 xx 1))]` `Rs. 200.` A actually pays `= Rs. 110` + p.w. of `Rs. 110` due `2` years hence `= [110 + (110 xx 100)/(100 + (10 xx 2))]` `= Rs. 192.66.` :. A gains `= Rs. (200 - 192.66)` `= Rs. 7.34.`
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Question: Rs. `20` is the true discount on `Rs. 260` due after a certain times. what will be the true discount on the same sum due after half of the former time, the rate of interest being the same ?
A
`Rs. 10`

B
`Rs. 10.40`

C
`Rs. 15.20`

D
`Rs. 13`

Note: S.I. on `Rs. (260 - 20)` for a given time `= Rs. 20.` S.I. on `Rs. 240` for half the time `= Rs. 10`. T.D. on `Rs. 250` `Rs. 10.` :. T.D. on `Rs. 260` ` = Rs. (10/250 xx 260)` `= Rs. 10. 40.`
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Question: If a man can swim downstream at `6` kmph and upstream at `2` kmph his speed in still water is :
A
`4 km∕hr`

B
`2 km∕hr`

C
`3 km∕hr`

D
` 2.5 km∕hr`

Note: Speed in still water `= 1/2 (6 + 2) kmph` `= 4 kmph`
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Question: The perimeter of a rectangular filed is`480` metres and the ratio between the length and breadth is`5 : 3.`The area of the field is :
A
`7200 m^2`

B
`15000 m^2`

C
`13500 m^2`

D
`54000 m^2`

Note: Let length = 5x breadth = 3x. Then, `2 (5x + 3x)` `= 480 or x = 30.` :. length `= 150 m` & breadth` = 90 m.` Area`= (150 xx 90) m^2` `= 13500 m^2.`
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Question: Goods were bought for Rs.`600` and sold the same day for Rs.`688.50` at a credit of `9` months and thus gaining `2%`. The rate of interest per annum is :

Question: The present worth of Rs.`1404` due in two equal half yearly instant at `8%` per annum simple interest is :

Question: A trader owes a merchant Rs.`10028` due `1` year hence. The trader to settle the account after `3` months. If the rate of interest is `12` annum, how much cash should he pay ?

Question: A man buys a watch for Rs. `1950` in cash and sells it for Rs.`9560` a credit of `1` year. If the rate of interest is `10%` per annum, the man :

Question: 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 :

Question: A owes B, Rs.`1573` payable `1 1/2` years hence, Also B owes A, Rs.`1444.50` payable `6` months hence. If they want to settle the account forth with, keeping `14%` as the rate of interest, then who should pay and how much ?

Question: A has to pay Rs. `220` to B after `1` year B asks A to pay Rs.`110` in cash and defer the payment of Rs.`110` for `2` years. A agrees to it. If the rate of interest be `10%` per annum, in this mode of payment :

Question: Rs. `20` is the true discount on `Rs. 260` due after a certain times. what will be the true discount on the same sum due after half of the former time, the rate of interest being the same ?

Question: If a man can swim downstream at `6` kmph and upstream at `2` kmph his speed in still water is :

Question: The perimeter of a rectangular filed is`480` metres and the ratio between the length and breadth is`5 : 3.`The area of the field is :