Question

Bhaumik purchases a container and sells it at Rs. 1980 to lokesh, divy purchases the same container from lokesh at Rs. 2376 and sells it to riya at Rs. 2673. Ratio of profit gain % by bhaumik to divy is 4 : 5. Calculate Cost price of container at which bhaumik purchased it and ratio of profit % gain by bhaumik to lokesh

1. Rs. 1560, 2 : 1
2. Rs. 1560, 1 : 2
3. Rs. 1980, 2 : 1
4. Rs. 1800, 1 : 2
5. Rs. 1560, 3 : 2

Answer 1

Correct Answer - Option 4 : Rs. 1800, 1 : 2

Given:

Bhaumik to lokesh = Rs. 1980

Divy to riya = Rs. 2673

Profit gain % by bhaumik to divvy = 4 : 5

Formula:

S.P. = C.P. (1 + (profit%/100))

Profit% = ((S.P. – C.P.)/ C.P.) × 100

Calculation:

Cost price for lokesh = Rs. 1980

⇒ Selling price for lokesh = Rs. 2376

⇒ Profit % = ((2376 – 1980)/ 1980) × 100

⇒ Profit % = 396 × 100/1980

⇒ Profit % = 20%

Cost price for divy = 2376

⇒ Selling price for divvy = 2673

⇒ Profit % = ((2673 – 2376)/ 2376) × 100

⇒ Profit % = 297 × 100/ 2376

⇒ Profit % = 12.5%

Let, profit % gain by bhaumik be X,

⇒ Ratio 4: 5 = X: 12.5%

⇒ X = 4 × 12.5/ 5

⇒ X = 10%

Selling price for bhaumik = Rs. 1980

Let, S.P. for bhaumik be Y

⇒ Y + (0.10 Y) = 1980

⇒ Y = 1980/ 1.10

⇒ Y = 1800

∴ Cost price of container at which bhaumik purchased it is Rs.1800 and the ratio is 1 : 2