General Mathematics

Question: The simple interest and the true discount oa a certain sum for a given time and at a given rate are Rs. `85` and Rs.`80`respectively. The sum is :
A
`Rs. 1800`

B
`Rs. 1450`

C
`Rs.1360`

D
`Rs. 6800`

Note: Sum`= (S.l. xx T.D.)/((S.l.) - (T.D.))` `= (85 xx 80)/(85 - 80)` `= Rs. 1360.`
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Question: If Rs. `10` be allowed as true discount on a bill of Rs. `110` due at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is :
A
`Rs.20`

B
`Rs. 21.81`

C
`Rs. 22`

D
`rs. 18.33`

Note: S.l. on Rs.`(110 - 10)` for a certain time = Rs.`10` S.l on `Rs.`100` for double the time `= Rs. 20` T.D on `Rs. 120 = Rs.(120 - 100)` `= Rs. 20` T.D. on ` Rs. 110 = Rs. (20/ 120 xx 110)` `= Rs. 18.33.`
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Question: A sum of money is divided among `A, B, C` such that to each rupee `A` gets, `B` gets, `65` paise and `C` gets `35` paise. If `C`'s share is `Rs. 28`, the sum is :
A
`Rs. 120`

B
`Rs. 140`

C
`Rs. 160`

D
`Rs. 180`

Note: `A : B : C = 100 : 65 : 35` `= 20 : 13 : 7`. `:. 7 : 40 = 28 : X` or `X = (40 xx 28)/7` `= 160`. `:.` Sum `= Rs. 160`.
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Question: `Rs. 730` were divided among `A, B, C` in such a way that if `A` gets `Rs. 3`, then `B` gets `Rs. 4` and if `B` gets `Rs. 3.50` then `C` gets `Rs. 3`. The share of `B` exceeds that of `C` by :
A
`Rs. 30`

B
`Rs. 40`

C
`Rs. 70`

D
`Rs. 210`

Note: `A : B = 3 : 4` and `B : C = 7/2 : 3` `= 8/7 xx 7/2 : 8/7 xx 3` `= 4 : (24)/7` `A : B : C = 3 : 4 : (24)/7` `= 21 : 28 : 24`. `B's` share `= Rs. (730 xx (28)/(73))` `= Rs. 280`. `C's` share `= Rs. (730 xx (24)/(73))` `= Rs. 240`. `:.` Difference of their shares `= Rs. 40`.
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Question: `Rs. 53`are divided among three persons `A, B, C` in such a way that `A`gets `Rs 7` more than what `B` gets and `B` gets `Rs. 8` more than what `C`gets. The ratio of their shares is :
A
`16 : 9 : 18`

B
`25 : 18 : 10`

C
`18 : 25 : 10`

D
`15 : 8 : 30`

Note: Let `C = x`. Then, `B = (x + 8) & A = (x + 15)` `:. x + x + 8 + x + 15 = 53` or `x = 10`. `A : B : C = 25 : 18 : 10`.
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Question: `Rs. 120` are divided among `A, B, C` such that `A's` share is `Rs. 20`more than `B's` and `Rs. 20` less than `C's`. What is `B's` share ?
A
`Rs. 10`

B
`Rs. 15`

C
`Rs. 20`

D
`Rs. 25`

Note: Let `C =x`. Then, `A = (x - 20)` and `B = (x - 40)`. `:. x + x - 20 + x - 40 = 120` or `x = 60`. `A : B : C = 40 : 20 : 60` `= 2 : 1 : 3`. `B's` share `= Rs. (120 xx 1/6)` `= Rs. 20`.
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Question: `A` sum of `Rs. 1300` is divided among `P, Q, R` and `S` such that : `(P's share)/(Q's share) = (Q's share)/(R's share) = (R's share)/(S's share) = 2/3`. What is `P's share` ?
A
`Rs. 320`

B
`Rs. 240`

C
`Rs. 160`

D
`Rs. 140`

Note: `P : Q = 2 : 3, Q : R = 2 : 3 = 3/2 xx 2 : 3/2 xx 3 = 3 : 9/2`. `:. P : Q : R = 2 : 3 : 9/2 = 4 : 6 : 9` And, `R : S = 2 : 3 : 9/2 xx 2 : 9/2 xx 3 = 9 : (27)/2` `:. P : Q : R : S = 4 : 6 : 9 : (27)/2 = 8 : 12 : 18 : 27`. `:. P's share = Rs. (1300 xx 8/(65))` `= Rs. 160`.
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Question: `Rs. 600` are divided among `A, B, C` so that `Rs. 40` more than `2/5`th of `A's` share, `Rs. 20` more than `2/7`th of `B's` share and `Rs. 10` more than `9/(17)`th of `C's` share may all be equal. What is `A's` share ?
A
`Rs. 150`

B
`Rs. 170`

C
`Rs. 200`

D
`Rs. 280`

Note: `2/5A + 40 = 2/7B + 20 = 9/(27)C + 10 = x`. `:. A = 5/2 (x - 40), B = 7/2 (x - 20)` and `C = (17)/9 (x - 10)`. `:. 5/2 (x - 40) + 7/2 (x - 20) + (17)/9 (x - 10) = 600` or `x = 100`. `:. A's` share `= Rs. [5/2 (100 - 40)]` `= Rs. 150`.
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Question: `Rs. 180` contained in a box consists of one rupee, `50-`paise and `25-`paise coins in the proportion of `2 : 3 : 4`. What is the number of `50-`paise coins ?
A
`120`

B
`150`

C
`180`

D
`240`

Note: Ratio of values `= 2/1 : 3/2 : 4/4` `= 2 : 3/2 : 1` `= 4 : 3 : 2`. Value of `50-`paise coins `= Rs. (180 xx 3/9)` `= Rs. 60`. Number of `50-`paise coins `= (60 xx 2)` `= 120`.
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Question: A man wants to sell his scooter. There are two offers one at Rs.`12000` cash and the other at a credit of Rs. `12880` to be paid after `8` months money being at `18%` per annum. Which is the better offer ?
A
`Rs. 12000` in cash

B
`Rs. 128880` at credit

C
Both are equally good

Note: `p.w. of Rs. 12880`due `8` months hence `= Rs. [(12880 xx 100)/(100 + (18 xx 8/12)]` `= Rs. ((12880 xx 100)/(112))` `= Rs. 11500. cearly, Rs. `12000` in cash is a better offer.
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Question: The simple interest and the true discount oa a certain sum for a given time and at a given rate are Rs. `85` and Rs.`80`respectively. The sum is :

Question: If Rs. `10` be allowed as true discount on a bill of Rs. `110` due at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is :

Question: A sum of money is divided among `A, B, C` such that to each rupee `A` gets, `B` gets, `65` paise and `C` gets `35` paise. If `C`'s share is `Rs. 28`, the sum is :

Question: `Rs. 730` were divided among `A, B, C` in such a way that if `A` gets `Rs. 3`, then `B` gets `Rs. 4` and if `B` gets `Rs. 3.50` then `C` gets `Rs. 3`. The share of `B` exceeds that of `C` by :

Question: `Rs. 53`are divided among three persons `A, B, C` in such a way that `A`gets `Rs 7` more than what `B` gets and `B` gets `Rs. 8` more than what `C`gets. The ratio of their shares is :

Question: `Rs. 120` are divided among `A, B, C` such that `A's` share is `Rs. 20`more than `B's` and `Rs. 20` less than `C's`. What is `B's` share ?

Question: `A` sum of `Rs. 1300` is divided among `P, Q, R` and `S` such that : `(P's share)/(Q's share) = (Q's share)/(R's share) = (R's share)/(S's share) = 2/3`. What is `P's share` ?

Question: `Rs. 600` are divided among `A, B, C` so that `Rs. 40` more than `2/5`th of `A's` share, `Rs. 20` more than `2/7`th of `B's` share and `Rs. 10` more than `9/(17)`th of `C's` share may all be equal. What is `A's` share ?

Question: `Rs. 180` contained in a box consists of one rupee, `50-`paise and `25-`paise coins in the proportion of `2 : 3 : 4`. What is the number of `50-`paise coins ?

Question: A man wants to sell his scooter. There are two offers one at Rs.`12000` cash and the other at a credit of Rs. `12880` to be paid after `8` months money being at `18%` per annum. Which is the better offer ?