Question

Kunal sold tractor to dipesh at 12.5% profit, dipesh sells it to hemanshi at 10% profit. Hemanshi sold the tractor to komal at 5% profit. If komal purchased the tractor at Rs. 31,185 then calculate profit gain by kunal.
1. Rs. 1800
2. Rs. 1600
3. Rs. 2700
4. Rs. 2100
5. Rs. 3000

Answer 1

Correct Answer - Option 5 : Rs. 3000

Given:

Kunal to dipesh = 12.5% profit

Dipesh to hemanshi = 10% profit

Hemanshi to komal = 5% profit

C.P. of tractor at komal = Rs. 31185

Formula:

Successive discounts: r1 + r2 + (r1r2/100) = effective r

Profit% = (S.P. – C.P. / C.P.) × 100

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

Calculation:

Let, Cost price of tractor be X at kunal

⇒ Cost price at kunal = X,   S.P. at kunal = (9/ 8) X

⇒ Cost price at dipesh = (9/ 8) X, S.P. at dipesh = (9/ 8) × (11/ 10) × X

⇒ Cost price at hemanshi = (99/ 80) X, S.P. at hemanshi = (99/ 80) ×  (21/ 20)X

Now, S.P. at hemanshi = C.P. for komal = (9/ 8) × (11/ 10) × (21/ 20) × X

⇒ 31185 = (9/ 8) × (11/ 10) × (21/ 20) × X

⇒ X = 31185 × 8 × 10 × 20/ (9 × 11× 21)

⇒ X = 15 × 1600

⇒ X = 24000

S.P. at kunal = 9/8 × X

⇒ S.P. at kunal = 27000

⇒ Profit incurred = 3000

∴ Profit gain by kunal = Rs. 3000