Question

X sells a T.V. to R at a gain of 7%, R sells the same to T at a gain of 11%. If T pay Rs. 83, 139 for it. Then, find the cost price of T.V. for X.
1. Rs. 70, 000
2. Rs. 45, 000
3. Rs. 50, 000
4. Rs. 58, 000

Answer 1

Correct Answer - Option 1 : Rs. 70, 000

Given∶

Cost price of T.V. for T = Rs. 83,130

Formula used∶

Cost price for X × [(100 + gain₁%)/100] × [(100 + gain ₂%)/100] = Cost price for T

Calculation∶

Let the cost price of T.V. for X is Rs. x

Cost price for X × [(100 + gain1%)/100] × [(100 + gain 2%)/100] = Cost price for T

⇒ x × (107/100) × (111/100) = 83,139

⇒ x = (83,139 × 100 × 100)/(107 × 111)

⇒ x = Rs. 70,000

∴ The cost price of T.V. for X is Rs. 70,000.