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A dealer buys a car listed at ₹ 200000 at successive discounts of 5% and 10%. If he sells the car for 179550, then his profit is
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- 10%
- 9%
- 5%
- 4%
Correct Option: C
As we know the formula for Equivalent discount for two successive discount.
Equivalent discount = 10 + 5 − | = 14.5% | |
100 |
∴ C P (for buyer) = 85.5% of ₹ 200000
= ₹ | = ₹ 171000 | |||
100 |
Selling Price = ₹ 179550
Profit = ₹ (179550 – 171000) = ₹ 8550
∴ Gain % = | × 100 = 5% | |
171000 |
Alternate method to solve this question :
Here, Marked Price = 200000, Selling Price is Cost Price for buyer.
D1 = 5%,
D2 = 10%
Selling Price = Marked Price | ||||||
100 | 100 |
= 200000 | ||||||
100 | 100 |
= 20 × 95 × 90 = 1800 x 95
Cost Price for buyer = 171000
Selling Price for buyer = 179550
Profit = | × 100% | |
C.P. |
= | × 100 = 5% | |
171000 |