An online portal introduces two schemes for their customers, during a sale on a car whose price is Rs. 500000. In scheme 1 the online portal offers a discount of 20% and in scheme 2 the online portal sells the car at a down payment of Rs. 125000 with 3 equal yearly installment of Rs. 117000. Assuming that the online portal invests its money at compound interest of 10% compounded annually, which offer is more profitable for them and by how much at the end of 3 years?
An online portal introduces two schemes for their customers, during a sale on a car whose price is Rs. 500000. In scheme 1 the online portal offers a discount of 20% and in scheme 2 the online portal sells the car at a down payment of Rs. 125000 with 3 equal yearly installment of Rs. 117000. Assuming that the online portal invests its money at compound interest of 10% compounded annually, which offer is more profitable for them and by how much at the end of 3 years? Correct Answer Rs. 21245 in scheme 2<sup>nd</sup>
Given:
Price of car = Rs. 500000.
In scheme 1st the online portal offers a discount of 20%.
In scheme 2nd the online portal sells the car at a down payment of Rs. 125000 with 3 equal yearly installment of Rs. 117000.
The online portal invests its money at compound interest of 10% compounded annually
Formula used:
A = p (1 + R/100)n
Calculation:
In scheme 1
The S.P of car = 500000 × 8/10 = Rs. 400000
Since, the online portal invests its money at compound interest of 10%, interest is being compounded annually
So, the money earned by the online portal after 3 years = 400000 (1 + 10/100)3 = Rs. 532400
In scheme 2
Since down payment = Rs. 125000
And equal installment = Rs. 117000
So, the money earned by the online portal after 3 years
= 125000 (1.1)3 + 117000 (1.1)2 + 117000 (1.1) + 117000
⇒ 166375 + 141570 + 128700 + 117000
⇒ 553645
So,
The online portal will earn (553645 – 532400) more in scheme 2
Hence, Rs. 21245 more money will be earned in scheme 2