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  1. 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
    1. 10%
    2. 9%
    3. 5%
    4. 4%
Correct Option: C

As we know the formula for Equivalent discount for two successive discount.

Equivalent discount =   10 + 5 −
10 × 5
= 14.5%
100

∴  C P (for buyer) = 85.5% of ₹ 200000
= ₹
85.5 × 200000
= ₹ 171000
100

Selling Price = ₹ 179550
Profit = ₹ (179550 – 171000) = ₹ 8550
∴  Gain % =
8550
× 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 − D1
100 − D2
100100

= 200000
100 − 5
100 − 10
100100

= 20 × 95 × 90 = 1800 x 95
Cost Price for buyer = 171000
Selling Price for buyer = 179550
Profit =
Selling Price − Cost Price
× 100%
C.P.

=
8550
× 100 = 5%
171000



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