Question

A' bought a cycle and spent rs. 110 on its repairs. He then sold it to b' at a profit of 20%. B' sold it to c' at a loss of 10%. C' sold it at a profit of 10% for rs. 1,188. How much did a' buy it for?

Answer 1

Answer:

sp for c= 1188

profit%=10%

cp for c= sp for B=

$\frac{sp \times 100}{100 + p\%} \\ = \frac{1188 \times 100}{100 + 10} \\ = \frac{1188 \times 100}{110} \\ = 1080$

Sp for B= 1080

loss%=10%

cp for B

$\frac{sp \times 100}{100 - l\%} \\ = \frac{1080 \times 100}{100 - 10} \\ = \frac{1080 \times 100}{90} \\ = 1200$

cp for B= sp for A= 1200

cp for a=

$\frac{sp \times 100}{100 + p\%} \\ = \frac{1200 \times 100}{100 + 20} \\ = \frac{1200 + \times 100}{120} \\ = 1000$

Oe for a=110

actual cp for a= 1000-110=890

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