Question

6. By selling a jug, Madhav suffered a loss of 6%.
If he had sold it for 14.30 more he would have made a profit of 5%. What is the C.P. of the jug?​

Answer 1

Gɪᴠᴇɴ :-

• Initial Loss = 6%
• If SP is Rs.14.30 More, Profit = 5% .

Tᴏ Fɪɴᴅ :-

• CP of the Jug. ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, CP of the Jug is Rs.100x.

Than,

→ CP = 100x

→ Loss = 6%

→ SP = [ CP * (100 - Loss%) / 100 ]

→ SP = [ 100x * 94 / 100 ]

→ SP = Rs.94x .

when SP is increased Rs.14.30 .

→ New SP = Rs.(94x + 14.3) --------- Equation (1)

_____________

Now, Again,

→ CP = 100x

→ Gain = 5%

→ New SP = [ CP * (100 + Profit%) / 100 ]

→ New SP = (100x * 105) / 100

→ New SP = Rs.105x ------------ Equation (2) .

______________

Comparing Both Equation Now , we get,

→ 105x = 94x + 14.3

→ 105x - 94x = 14.3

→ 11x = 14.3

→ x = 1.3

Hence,

→ CP of Jug = 100x = 100 * 1.3 = Rs.130 (Ans.)

Therefore, Cost Price of Jug is Rs.130.

Answer 2

Answer:

Rs. 130....

Step-by-step explanation:

GIVEN:-

Initial loss = 6%

If SP is Rs 14.30 more, profit = 5%

TO FIND:-

C.P. of the jug = ?

SOLUTION:-

Let CP of the jug be 100x

So,

CP = 100x

Loss = 6%

SP = {CP × (100 - Loss %) /100}

SP = 100x × 94/100

When SP is increased Rs. 14.30

New SP = Rs. (94+14.30) ________________(1)

Now CP = 100x

Gain = 5%

New SP = { CP × (100+Gain%)/100}

New SP = { 100 x × 105}/100

New SP = 105x ______________________(2)

Comparing both the equations we get,

105x = 94x + 14.3

105x - 94x = 14.3

11x = 14.3

x = 1.3

Hence, CP of the jug = 100x = 100× 1.3 = Rs. 130

So, CP of the jug = Rs. 130 Answer....