Latest CTS Aptitude Question SOLUTION: A shopkeeper bought a bat and sold it at a loss of 15 %. If he had bought it for 20 % less and sold it for Rs. 147.2 more, he would have had profit of 35 %. What is the cost price

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A shopkeeper bought a bat and sold it at a loss of 15 %. If he had bought it for 20 % less and sold it for Rs. 147.2 more, he would have had profit of 35 %. What is the cost price of bat ?

1) Rs. 540
2) Rs. 600
3) Rs. 625
4) Rs. 640
5) Rs. 720

Asked In CTS ABHINAV PUSHPAM (8 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Devendra Marghade  (8 years ago)

4) Rs. 640

Let the CP of a bat be x Rs.
With 15% loss, SP=x*85/100=0.85x

If bought at a CP 20% less than the earlier, then CP=x*80/100=0.8x and
SP at 147.2 Rs. more=Original SP+147.2= 0.85x+147.2

As profit earned on this transaction is 35%, so [(0.85x+147.2) - 0.8x]*100/0.8x =35
On solving, x=640

Is this solution Helpfull? Yes (19) | No (5)  

RAJAN BRAHMA  (7 years ago)

640

explanation:
cp->100 therefore sp->85
agn when cp->80 then sp->108
therefore 108-85=23
23-->100
thn 147.2-->640 (ans)

Is this solution Helpfull? Yes (15) | No (4)  

Gopaluni veda prathyusha  (5 years ago)

Let cost be ‘x’
SP = 17X/20

Now, CP = 4X/5

SP = 17x/20 + 147.2 = (17x + 2944)/20

{(17x + 2944)/20 - 4x/5} * 5/4x * 100 = 35
(17x + 2944 - 16x)/20 * 125/x = 35
(x + 2944)/4 * 25/x = 35
25x + 73600 = 140x
x = 640

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