Question

Sharukh Khan and Amjad Khan bought an electronic item and sold it at a loss of 10%.
If they had bought the electronic item for 20% less and sold it for Rs.176 more they
would have made a profit of 40%. What is the cost price of the item?
a) Rs.1200
b) Rs.960
c) Rs.840
d) Rs.800​

Answer 1

Answer:

d. 800

Step-by-step explanation:

casei. loss=10%

by formula

cp=sp*(100/100-loss)

cp=sp*(100/90)

cp=10sp/9

keep the above equation for futher use

now take caseii

they purchased  an item for 20 percent less than the actual cp

so 1 cp becomes 0.8 cp

now they are selling at 176 more so sp=sp+176

now replace cp by 0.8cp and sp by sp+176 in the same formula

now the profit is 40%

so

.8cp=(sp+176)*(100/140)

.8cp=(sp+176)*(5/7)

we know that cp=10sp/9 from case i

from this equation we can write sp=9cp/10

substituting sp

.8cp=((9cp/10)+176)*(5/7)

.8cp=((9cp+1760)/10) *(5/7)

.8cp=(9cp+1760)/14

11.2cp=9cp+1760

2.2cp=1760

cp=800