Mohan purchased a bicycle and a tricycle together for Rs. 5000. After some time he sold the bicycle at a gain of 25% and the tricycle at a gain of 20%. He gained 23% overall. Find the cost of the bicycle and the tricycle.
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Find the SP when:
(i) CP = Rs 950, gain = 6%
(ii) CP = Rs 9600, gain = 1623%
(iii) CP = Rs 1540, loss = 4%
(iv) CP = Rs 8640, loss = 1212%
ANSWER:
(i) CP = Rs. 950
Gain = 6%
SP ={(100 + Gain%)100× CP } = {(100 + 6)100× 950} = 106100× 950 = 100700100 = Rs. 1007
(ii) CP = Rs. 9600
Gain = 1623% = 50 3%
SP={ (100 + Gain%)100× CP} = {(100 + 503)100× 9600} = 350300 ×9600 = 33603 = Rs. 11200
(iii) CP = Rs. 1540
Loss = 4%
SP={(100 - Loss%)100× CP} = {(100 - 4)100× 1540} = 96100× 1540 = 147840100 = Rs. 1478.40
(iv) CP = Rs. 8640
Loss = 1212% = 252%
SP={(100 - Loss%)100× CP} = {(100 - 252)100× 8640} = 175200× 8640 = 1512000200 = Rs. 7560
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Verified answer
Answer:
Let cost price of tricycle = Rs x.
Selling price= x.(1+15/100) = Rs23x/20.
New selling price = Rs(23x/20+108).
S.P./C.P. = (100+ r)/100.
(23x/20. +108)/ x = (100+20)/100
(23x+2160)/ 20 x. = 6/5.
or. (23x+2160)/4x.= 6/1.
or. 24x=23x+2160.
or. x = Rs 2160.
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