When a commodity is sold for Rs 34.8 There is a loss of 25% What is the cost price of the commodity?

If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?

Rs.46.40

Rs.44

Rs.42

Rs.47.20

Explanation:

SP = 34.80

Loss = 25%

CP = $\dfrac{100}{(100 - Loss\%)} \times SP$ = $\dfrac{100}{(100 - 25)} \times 34.80$ = $\dfrac{100}{75}$ x 34.80

= $\dfrac{4 \times 34.80}{3}$ = 4 x 11.60 = 46.40

Next Question

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

When a commodity is sold for \$34.80, thre is a loss of 2%. What is the cost price of the commodity?

The answer choices are as follow:

\$26.10

\$43

\$43.20

\$46.40

I tried to solve this by multiplying 34.80 dollars to 98 percent
(since there is a loss of 2%) and get $34.104.

But the answer key states that the answer is \$46.40.

Cost Price = (100/75 x 34.80) which yields \$46.40.

I don't know how it ended up with 100/75 in the solution, or how there's even 75 in it. I suspect the problem has some kind of typographical error.. Or if none, how did it wind up as $46.40?

Please help me understand this problem and reconcile the problem itself, the answer key I have and the solution I made earlier. (My suspicion is that it has a typo error. It has a 25% loss not 2%.)

PS I am a first yr college student struggling with word problems, specifically.

Thank you!

Syntel Company Numerical Ability Profit and Loss

C.P=(100/98)*34.80= Rs.35.510
9 years agoHelpfull: Yes(18) No(2)
C.P=Rs.(100/75 * 34.80)=Rs. 46.40
10 years agoHelpfull: Yes(7) No(27)
C.P=(100/98)*34.80= Rs.35.510...bvut ans is not there .. @arpita das how we got 75 in the solution??
8 years agoHelpfull: Yes(4) No(0)
S.P=100-loos%*C.P/100 34.80=100-2*C.P/100 C.P= 34.80*100/98
C.P=35.510
7 years agoHelpfull: Yes(2) No(0)
question wrong .....its not 2precent it is 25%
7 years agoHelpfull: Yes(2) No(0)
none of these
7 years agoHelpfull: Yes(1) No(0)
C.P=(100/75*34.80)=46.40
7 years agoHelpfull: Yes(0) No(1)
C.P. = Rs. (10075∗34.80) (10075∗34.80)
= Rs. 46.40.
6 years agoHelpfull: Yes(0) No(1)
if so why there is no option for it
5 years agoHelpfull: Yes(0) No(0)
C.P. = Rs. [100/75× 34.80]
= Rs.46.40
3 years agoHelpfull: Yes(0) No(0)