Question

Randy gave 10% of his plums to Vashti and he sold 33% of the remainder to Talya. Randy remained with 60 plums.
a) Calculate how many plums Randy had at the beginning,
b) How many MORE plums did Talya get than Vashti?​

Answer 1

Answer:

Buy of land =Rs. 480000

5

2

×480000=Rs. 192000

Loss=6%

100

100−6

×192000=Rs. 180480

Total gain=10%

100

100+10

×480000=Rs. 528000

S.P=528000−180480=Rs. 347520

C.P of remaining part of land =

5

3

×480000=Rs. 288000

Gain% of remaining part of land =

C.P

S.P−C.P

×100

=

288000

347520−288000

×100

=20.6%

Hence, this is the answer.

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Answer 2

Answer:

a. let the initial value be x

$x - \frac{10}{100} x - \frac{33}{100} ( \frac{90}{100} x) = 60 \\ \frac{90}{100} x - \frac{33}{100} ( \frac{90}{100} x) = 60 \\ \frac{90}{100} \times \frac{67}{100}x = 60 \\ x = 100$

b.

Vashti gets = 10

Tanya gets =

$\frac{1}{3} \times 90 = 30$

Talya get 20 plums more than Vashti.