Question

09. Aller giving two successive discounts of 8 % and 5 %, a scooter was sold for 36,708.
Find the listed price of the scooter,​

Answer 1

Sᴏʟᴜᴛɪᴏɴ :-

→ SP = Rs.36,708

→ Discount 1 = D1 = 8%

→ Discount 2 = D2 = 5% .

→ MP = SP * {100/(100-D1%)} * {100/(100-D2%)}

Putting values now, we get,

→ MP = 36708 * (100 /92) * (100 / 95)

→ MP = 36708 * (25/23) * (20/19)

→ MP = (36708 * 500) / (23 * 19)

→ MP = Rs.42000 (Ans.)

Hence, The Listed Price of the scooter is Rs.42000.

______________________

Shortcut :-

→ 10(MP) ---------------- 9.2(SP)

→ 10(MP) ---------------- 9.5(SP)

×. ×

100(MP) ----------- 87.4(SP).

Therefore,

→ 87.4%(SP) -------------------- Rs.36708

→ 1% -------------------- (36708/87.4)

→ 100%(MP) -------------------- (36708/87.4) * 100 = Rs.42,000 (Ans.)

____________________________

Answer 2

Given ,

Selling price , SP = RS. 36,708

Discount 1 , D1 = 8 %

Discount 2 , D2 = 5 %

We know that , Marked Price ,

$\bf{MP=SP*(\dfrac{100}{100-D_1\%})*(\dfrac{100}{100-D_2\%}})$

$\implies \bf{MP=36708*(\dfrac{100}{100-8})*(\dfrac{100}{100-5})}\\\\\implies \bf{MP=36708*\dfrac{100}{92}*\dfrac{100}{95}}\\\\\implies \bf{36708*\dfrac{25}{23}*\dfrac{20}{19}}\\\\\implies \bf{MP=RS.42,000}$

So the listed price of the scooter is RS. 42,000